Mathematics High School

Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.

(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)

Answers

Answer 1
If x = 5 is a zero of the given polynomial, then,(x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]Now, divide the polynomial with (x - 5) using long division method. (See the picture)We get (x^2 - x - 6) as the quotient.Now, factorise the above polynomial:(x^2 - x - 6) = (x^2 - 3x + 2x - 6) = x(x - 3) + 2(x - 3)= (x - 3)(x + 2)Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find The Factors Of F(x) Given That X = 5 Is A Zero.f(x) = X3 6x2 X + 30. (x 5)(x + 3)(x 2) (x 5)(x 3)(x

Related Questions

Anita is making balloon bouquets for her school's autumn dance. She uses 3 orange balloons and 2 green balloons in every bouquet.
Pick the diagram that models the ratio in the story.
If Anita uses a total of 15 orange balloons, how many green balloons should she use?

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Answer:

i think 10

Step-by-step explanation:

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Answer:

25, -55

Step-by-step explanation:

Intercepts are where the line crosses the x and y axis

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a = bm + cm

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James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is James' total vacation budget?

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True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
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Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
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Answers

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Answer:

The answers are given in the photo

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Answers

Answer:

-32 or 4x -8

Step-by-step explanation:

-2 ( -3x + 2 ) : 6x - 4

= 6x -4 - 2 ( x + 2 )

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=6x - 4 - 2x - 4

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Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
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The two numbers are joined to form a new 6-digit number PQRSTU as shown.
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Answers

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

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Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help

Answers

Answer:

equation of g(x) is 3-x

f(x)= -x+6 g(x)=f(x+3)

then,,

f(x+3)=-(x+3)+6 =-x-3+6 = 3-x

ie.. g(x)=3-x

i neeeeeeeeeeeeeeeeeeeed hellp fast

Answers

Answer: point E

Step-by-step explanation:

Miss Watson runs a distance of 200 meters in 25 seconds.
Work out the average speed of Miss Watson in meters per second?

Answers

Step-by-step explanation:

D = 200m T = 25s

The formula for speed is speed = distance ÷ time

S = 200 ÷ 25

S = 8m/s

What is the multiplicative rate of change of the
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20
2,
81
4
16
0 1
12
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9
8
9
1.
NI
(-2
. 81)-1,3
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Answers

Answer:

  (d)  9/2

Step-by-step explanation:

The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.

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  x = 0, y = 1

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Write an equation for the graph.

Answers

Answer: y=5/3x+3

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Answer:

necklace

Step-by-step explanation:

It is the only one with a negative elevation

x²+1=2x
hope someone can help thanks!​

Answers

Answer:

I think it’s x=1

Answer:

Step-by-step explanation:

x^2 + 1 = 2x

x^2 - 2x + 1 = 0

Factor (x - 1) ( x - 1)

x = 1

Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?

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Answers

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Add the two together and you get 31.25

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Answers

Answer:

First one

Step-by-step explanation:

For every 1 in x the y goes up by 3

help plzz) A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d +0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Answers

Answer:

first expressions = 1.38d

second expressions = (1 + (38/100)d

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Answers

Answer: By using the rounding rule.

Step-by-step explanation:

387 x 397 => 387.4

384 x 352 => 387.4

Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

8.48

Step-by-step explanation:

36 + 36 = 72

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Step-by-step explanation:

✺༒Question༒✺

Refer to attachment

Nonsence answer will get report​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

(i) 64(ii) 729(iii) 121(iv) 625

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

REFER TO ATTACHMENT

I HOPE IT IS HELPFUL

Please help it depends on my grade i have a 50 i need to pass this test.do the ordered pairs represent y as a function of x?

(9, 0), (8, 0), (-8, 3), (-3, -3), (-4, 2)
A. No, because there is more than one y-value for the same x-value.
B. Yes, because for every x-value there is only one y-value.
C. No, because there is more than one x-value for the same y-value.
D. Yes, because for every y-value there is only one x-value.

Answers

Answer:

a

Step-by-step explanation:

Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answers

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)

Answers

Answer:4/9 pizzas

Step-by-step explanation:

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
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Answers

Answer:

28%

Step-by-step explanation:

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Answers

Actual Product:

4491.9

Estimated Product:

4492

How is it 4492?

4491.9

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Find x, given the slope is -2. (x,-6) (-6,10)

Answers

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

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Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

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x= 8 -6

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