If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.​

Answers

Answer 1

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

                  - 5x² - 14x + 24

                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |


Related Questions

Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.

Answers

Answer:

f(66) = -3

Step-by-step explanation:

f(x) = 8 - x/6                     Substitute 66 for the vale of x and solve

f(66) = 8 - 66/6

f(66) = 8 - 11

f(66) = -3

fill in the blank to make the fractions equivalent. 5/6 ?/12

Answers

Answer:    5/6 = 10/12

Step-by-step explanation:  

Need help i attached images below i will give brainly to who ever answers first

Answers

Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5

x + y = 8
Now let x = 7. What is y?​

Answers

Answer:

1 cuz 7+1=8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x=7

y=1

7+1=8

Pick two that helppppp please

Answers

Answer:

acute and scalene

Step-by-step explanation:

.

.

.

.

.

Answer:

Acute and Isosceles

Step-by-step explanation:

Acute= less than 90 degrees

Isosceles= two sides of equal length.

PLS HELP 50 POINTS!!!! NEED THIS IN 1 HOUR!!!
Which equation justifies why nine to the one third power equals the cube root of nine?

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine

Answers

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The Power of a Power Property , states that :To find a power of a power, multiply the exponents

so

In this problem we have

Remember that

Raise to the third power

Applying the power of power property

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Answer:

You’re already a hero!

Helping others is the best! We’re sure you can give a great answer.

Step-by-step explanation:

help me pleaseeeeee!!!!!!​

Answers

Answer:

A' (1, -1)     B' (4, -5)     C' (6, -2)

Step-by-step explanation:

Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).

A (1, 1) --> A' (1, -1)     So (x,y) becomes (x,-y)

Hope this helps!

A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?

Answers

Answer:

50

Step-by-step explanation:

on edge

A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

c) Now let’s do another “what if”. What if the normal cost of an office visit to your regular doctor is $80, without insurance? With AAA+ and Health Today you would pay only $25 for the office visit, as it is not part of the deductible. With Best Insurance, if you have not met the deductible yet, you would pay the whole cost of $80. You may have a lot of office visits before you pay the deductible on this insurance. Let’s assume that you have met the deductible and see what the office visit would cost. You will pay 20% of it.

• AAA+
Office Visit = $25

• Health Today
Office Visit = $25

• Best Insurance
Office Visit = 20% of 80 =

Answers

Answer:

$16

Step-by-step explanation:

Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2

Answers

Answer:  D:  3x + 5y = 2

Step-by-step explanation:

D.  Divide 21 x + 35 y – 14 = 0 by 7 to get:

                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?

Answers

31 1/2 miles is how much he would have traveled in 7 hours

help with these questions pls​

Answers

Answer:

1. 5 + r/14

2. 3x -4 = 23

Answer:

1. 5 + r/14

1. 3x - 4 = 23

Step-by-step explanation:

1. Remember, the quotient is obtained by dividing one quantity by another. In the sentence it is stated that "the quotient of r and 14" which means: r divided by 14.

The sentence models 5 + r/14

2. We are to subtract 4 from the product of 3 and x. So part of the equation looks like: "3x-4". Since it is stated that 23 is the total sum, then the answer is: 3x - 4 = 23

Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.

What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?

EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.

Answers

Answer:

Max area = 100

10 10 sides

Step-by-step explanation:

here given perimeter for fencing is 40 feet

for it to have maximum area sides

sides length is perimeter / 4

so l = 40/4 = 10

so it is 10 × 10 square

Area = 100

This is the maximum area

Find the perimeter.Simplify your answer.

Answers

Answer:

24x-6

Step-by-step explanation:

To find the perimeter we have to ads all of our sides to together

8x-3+8x-3+4x+4x

Combine light terms

24x-6

Chelsea borrowed P10,00 for 18 months at a rate of 10%.How much is the total amount due?​

Answers

Answer:

11,536.89733 (rounded to 11,536.90)

Step-by-step explanation:

10,000(1+0.1)^1.5

P(1+r)^t

P=Principal

r=rate

t=time(in years)

HELP IM LATE LOL In an aquarium, ⅖ of the fish are surgeonfish. Of these, ¾ are yellow tangs. What portion of all fish in the aquarium are yellow tangs?

Answers

Answer:

1 and 3/20 total, 15/20 of the fish are yellow tangs which would also be 75%.

Step-by-step explanation:

2/5 and 3/4 need to be converted into a fraction with a similar denominator. 5x4= 20, so 20 is our denominator.

To find the numerator, we need to multiply 2 by 4, which equals 8, and 3 by 5 which equals 15.

8/20 + 15/20 = 23/20 or 1 3/20

A manager that owns 3 local area car maintenance garages was researching certifications of mechanics that worked for her company. consider the following Venn Diagram.

1.How many mechanics work for her company
2.How many are certified to do work on brakes
3.How many are certified by ASE to do work on brakes **and** tune-ups?

Answers

Answer:

B. 1/2

Step-by-step explanation:

In the picture attached, the Venn diagram is shown

amount of ASE certified brakes mechanics: 4+2+2+1 = 9

amount of mechanics: 4+2+2+1+3+3+3 = 18

The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2

what is the slope of the line

Answers

Answer:

slope = 3/2

Step-by-step explanation:

Step 1: Select two points from the graph.

(3,0) and (1,-3) are two points on the graph.

Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{-3-0}{1-3}[/tex] [tex]\frac{-3}{-2}[/tex] [tex]\frac{3}{2}[/tex]

Therefore, the slope is 3/2.

Please help I do not understand what to do or what the answer is

Answers

Answer:

Step-by-step explanation:

[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]

(1 , -3) & ( 1 , 0)

The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.

Slope is undefined.

3) (0,2)  , (4 , 0)

[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

y=1/2x+4
y=-2x+9
elmantion or substutuion method

Answers

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.

plz help will mark as brainliest​

Answers

Answer:

45⁰

according to question the answers is given here in the image / attachment . please follow these steps.

this is my attachment answer hope it's helpful to you

How do you write 7,700,000 in scientific notation?

Answers

Answer:

7.7 × [tex]10^{6}[/tex]

Step-by-step explanation:

Start off with finding the digits in this case it would be 7,700,000

Now insert a decimal so that it is a number under 10.

That would be 7.7

to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.

It would take 6 "jumps" to end up back to 7,700,000

Now that we have that information we can make the scientific notation

1) Take the number (7.7)

2) Multiply the number by 10 with the exponent of "jumps"

Thus,

7.7 × [tex]10^{6}[/tex]

If you multplied 5x10, would you get the same answer as 5x5x5? Explain your reasoning. DO NOT G O O G L E THE ANSWER!!!!!!

Answers

No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.

Answer:

No

Step-by-step explanation:

No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.

Which theorem does it offer proof of?

Answers

Answer:

vertical angles are =

Step-by-step explanation:

Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101


PLZ ANSWER QUICK will mark branilyist.

Answers

Answer:

I think the answer would be b

2x+10=4.what are the steps to follow as to get the actual value of X

Answers

2x + 10 = 4
So we want to get X alone
So we - 10 on both sides
2x = 4-10
2x = -6
Now we divide by 2 so we get the value of X
X = -3

help please! 90 points

Elsa recorded the different types of ice cream her friends like in the table below: Ice Cream Type Number of Friends Chocolate 3 Pistachio 1 Strawberry 2 Vanilla 4 Which of the following plots represents the data in the table? A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 2 above Pistachio, 3 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 4 above Strawberry, and 2 above Vanilla.

Answers

Answer:

Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla

Answer:

The answer is A

Step-by-step explanation:

I took the exam

how to simplify 3x - 20

Answers

Answer:

-60

Step-by-step explanation:

you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number

The answer will be -60

1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC
2. m2BDC=3(x-5) and m--BC=x+25,what is MZA
3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC
4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?

Answers

Answer:

[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]

Step-by-step explanation:

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