14. Given that 16x⁴+ - 4x³– 4b²x² + 7bx + 18 is divisible by 2x + b,
(a) show that b³ - 7b² + 36 = 0,
(b) find the possible values of b.​

Answers

Answer 1

Answer:

(a) check the explanation

(b) the possible values of b is 6i or -29

Explanation:

Given function;

16x⁴ - 4x³– 4b²x² + 7bx + 18

(a)

factor of the given function = 2x + b

then, 2x + b = 0

x = -b/2

substitute the value of b into the given function;

16x⁴ - 4x³– 4b²x² + 7bx + 18

[tex]16(\frac{-b}{2} )^4 -4(\frac{-b}{2})^3-4b^2(\frac{-b}{2})^2 +7b(\frac{-b}{2})+18=0\\\\b^4+\frac{b^3}{2} -b^4-\frac{7b^2}{2} +18=0\\\\\frac{b^3}{2} -\frac{7b^2}{2} +18=0\\\\multiply\ through \ by \ "2"\\\\b^3-7b^2+36 =0 \ (shown)[/tex]

(b)

b³ - 7b² + 36 = 0

b²(b - 7) + 36 = 0

b²(b - 7) = -36

b² = -36                or b - 7 = -36

b = √(-36)             or  b = -36 + 7

b = √(-1) x √(36)   or  b = -29

b = 6i       or   -29              


Related Questions

The process of nomadic hunter gatherers becoming sedentary farmers.

Answers

Answer:

It took climate change, fertile river valleys, domestication of crops and animals so that the hunter-gatherers became sedentary farmers.

Explanation:

Initially, all humans were hunter-gatherers. This was due to multiple reasons, with one the biggest one probably being the climate which was not enabling good conditions for the hunter-gatherers to transform their lifestyle. All other conditions needed were stopped because of the climate conditions, so humans had to do what they could to survive in those conditions.

About 10 years ago though the bad climate conditions ended, or rather the Ice Age ended. This resulted in a much warmer climate, which in turn created much more water bodies like rivers and lakes, much more vegetation, and they contributed to the creation of much more fertile soil.

With these conditions in place, the humans quickly saw that there is huge potential in some plants and animals, so they started to farm them, select the ones with the best characteristics, and gradually producing enough food for themselves. With the food problem solved, humans didn't have the need to wonder around all the time, so they started abandoning the hunter-gatherer lifestyle and started settling in one place.

The most minerals are found in what mineral group

Answers

Answer:

The Silicates are by far the largest mineral group. Feldspar and quartz are the two most common silicate minerals. Both are extremely common rock-forming minerals.

Explanation:

Answer:

Silicates are by far the largest mineral group. Feldspar and quartz are the two most common silicate minerals. Both are extremely common rock-forming minerals.

Explanation:

Why is aq. Na2CO, basic?​

Answers

Answer:

Basicity is due to the increase in OH− ions. So, the more Na+ is hydrolysed more OH− are produced, hence aqueous solution of Na2CO3 is basic in nature.

How is the play, Killing Time, a typical one-act play?

Answers

Answer:

It fills in the extra time that would usual be the transition to the next act in the play. It's a supplement of sorts.

Explanation:

Hope this helped!

Answer:

The play, Killing Time, is a typical one-act play because it usually focuses on one main/big event

Which lunar phase is one month after the waning crescent?

Answers

New

Waxing Crescent

First Quarter

Waxing Gibbous

Full

Waning Gibbous

Third Quarter

Waning Crescent

Answer:

Should be waning crescent

Explanation:

It takes around a month to complete one lunar cycle, so it should be the same.

4. What is the most important physical feature in Africa?​

Answers

the Sahara desert for sure

Explain how the development of agricultural economic activities contributes to the reduction of imports​

Answers

Answer:

The development of agricutral economic will reduce the numbers/quantites of imports due to improved techneques and giving farms a wider varity of goods and increasing the amount of produce that comes from the farms hence not needing to import from else where

Choose the hypothesis of the conditional statement: *

If an animal is a dog, then it is a mammal

O a dog is not a mammal

O an animal is a dog

O a dog is a mammal

O an animal is not a dog

Answers

i think it's the 3rd one a dog is a mammal
It the third questions I think

Help me ASAP please

Answers

It is 14 cause 180 -110 equals 70 then add them numbers and get 5 then divide the 70 by the 5 and get 14 :)

Which is the best example for long term movements

A taking a quick trip to the store
B going to school each day
C moving to a new state
D visiting the library after school

Answers

C. that’s a long period of time

Which statement describes a feature of a conic projection? (There is only one correct answer.)
A. Pilots use this projection type.
B. The equator usually serves as the central point.
C. Latitude lines connect at a central point.
D. Conic projections are the most distorted type.​

Answers

Answer:

the anser is A Pilots use this projection type.

Explanation:

hehe

The statement that can be considered as a feature of a conic projection as regards this question is :A. Pilots use this projection type.

Conic projection can be regarded as map projection whereby there is a projection of an area of the earth on to a cone, and in this case the vertex is been placed above one of the poles.

Conic projection are been utilized in mid-latitude zones having an (east–west) orientation.  It is been used by a pilot.

Therefore, option A is correct.

Learn more at:https://brainly.com/question/12498006?referrer=searchResults

The wind around a surface low pressure in the Northern Hemisphere blows __. a. counterclockwise perpendicular to isobars.b. clockwise perpendicular to isotherms.

Answers

Answer:

a. counterclockwise perpendicular to isobars

Explanation:

Due to the Coriolis force that shifts the air in such a way that it follows the pressure contours thereby making the air or wind blow in a counter-clockwise direction in the Northern Hemisphere around low pressure and move out around high pressure in a clockwise direction.

Hence, it can be concluded that The wind around a surface with low pressure in the Northern Hemisphere blows "counterclockwise perpendicular to isobars."

What is the longest river in jamaica​

Answers

The River is the Rio Minho

Solve for the value of p.
|(3p+1)°
(p+7)

Answers

Answer:

P=43

Explanation:

As, the both angles are linear, so if we add them, we will get 180°.

So, p+7 + 3p+1 = 4p + 8

So, 4p + 8 = 180

So, 4p = 180 - 8

4p = 172

P= 172/4

P = 43

So p+7 + 3p+7 = 43 + 7 + ( 3x43 + 1) = 180

Therefore, p = 43

Find the measure of the missing angles.
b
107°c

Answers

b=107°
c= 73°

Because a straight line equals 180° and we have 107° and b would also be equal to 107°. 180°-107°=73° which will be c. hope this help!!
sorry if I might be wrong.

1. A 15 minute quadrangle map of a region within the United States with a longitude of 76'00'00" in the right corner of the map, will read what longitude in the left corner? Refer to your lab instructions. 2. A 15 minute quadrangle map of a region within the United States with a latitude of 43 15'00" in the top corner of the map, will read what latitude in the bottom corner? 3. A fractional scale of 1:24,000 means that 1 inch-feet. 4. A fractional scale of 1:24,000 means that 1 footkilometers.

Answers

Answer:

Following are the solution to the given points:

Explanation:

15-minute charts display a latitude and longitude zone of 15 minutes. It was a collection of graphs designed to chart the whole US area on the very same scale.

In point 1:

In the United States, the American Government raises the worth through North to South (from the right of the map towards the left).

Therefore, the left portion's latitude value: =76°00’00”+0°15’00”=76°15’00”

In point 2:

That value of altitude increases to the top of the map.

That latitude meaning at bottom of a map:

=43°15’00” - 0°15’00”=43°00’00”

In point 3:

In this floor as per the scale from 1 inch mostly on map.

Thus 1"=24000"=2000 ft

In point 4:

The map depicts 24000 ft at the floor in conjunction with the scale 1 foot. Consequently, 1 foot=24000ft=7,3152 km

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Explain what happened when protesters in Syria stood up against the president. (Site 1)

50 POINTS PLEASEEEE HELP

Answers

Answer:

The United States Constitution refers to the powers of the President and the powers of the US Congress. Regarding foreign policy, the President of the United States is the chief diplomat of the United States. He can sign international treaties that later can be ratified by Congress. On the other hand, Congress discusses and comments those treaties and trade agreements and sent it to the President to sign them. Another important function of Congress regarding foreign policy is that only the US Congress can declare war to other nations.

Explanation:

How have airplanes changed the way the world does business? Check all that apply.
by making long trips less expensive
by making long trips in less time
by opening up new trade markets
by increasing hiring opportunities
by increasing travel options

Answers

B, C, D, and E

Because of the convenience of air travel, plane tickets, especially for a great distance, are typically significantly more expensive than taking a road trip or railroad travel. That being said, certain budget airlines can make long air travel relatively inexpensive.

Air travel has slashed the amount of time for travel. For example, a flight from Boston to California is roughly 6 hours, while traveling by car would take about 24 hours.

Air travel has allowed nations to reach new areas for trade. Now, companies by sea or with local railroads are not the only ones involved in trade.

Air lining has created a vast number of jobs including, but not limited to, pilots, air traffic controllers, TSA, and baggage claim handlers.

Air travel has also expanded our travel options. Instead of trains, cars, and boat, now, there is an airline option.


7. How old is a mineral that contains
25 percent U-235?

Answers

Answer:

704 million years in Geology.

Explanation:

Lead-207 would be the daughter.

Which of the following pertains to titanium? Select all that apply:
it is a mineral
it is durable
it is nontoxic
it is lightweight
it is toxic

Answers

Answer: it is a mineral

it is durable

it is nontoxic

it is lightweight

Explanation:

The pure titanium can be defined as a white lustrous metal. It exhibit low density thus, it is light in weight. It is resistant to corrosion thus it is durable. It is obtained in the form of minerals like leucoxene, rutile, and other forms. Titanium is not a toxic metal and the human body can tolerate the large doses of the titanium.  Exceptionally, the titanium dioxide exhibit very low level of toxicity.

What high Means that a large amount of energy is required to change the waters temperature

Answers

its high specific heat!!!!!!

2(p + 6) - 10 = 12
Please solve

Answers

The answer is p=5. I hope it helps

Analyze the map below and answer the question that follows.

Analyze the map above. What unique natural resource is found in Southeast Asia but not in South Asia?
A. Precious gems
B. Natural gas
C. Lumber
D. Coal​

Answers

Answer:

A. Precious gems

Explanation:

The picture isn't totally clear, and there is no compass indicating exactly which directionis which, but from what I saw, the only area where there was something different was in Southeast Asia.

Because the rest of the map has oil, natural gas, and lumber icons.

Hope that helps! :)

Answer:

A- precious gems

Explanation:

We had dogs before we lived in cities.

Answers

We had dinosaurs before we even lived as people.

Which landscape feature helped determine the location of major settlements in the Columbia Basin?

open plains
mountains
natural harbors
rivers

Answers

Answer:

Mountains

Explanation:

Please give brainliest


Transform plate boundaries produce mostly what type of geologic phenomenon

Answers

Answer:

I’m just doing this for the points

Explanation:

PLEASEEEEEEEEE Help
1. Is the elevation at the red arrow higher or lower than the elevation at the blue arrow?
2. What is the relief between the red arrow and blue arrow?
3. Which satellite image shows the landform featured in this map?

Answers

Answer:

HEY DUDE DID YOU GET THE ANSWERS PLEASE TELL MEEEE'

Explanation:

Explain ways through which the land is damaged by water logging and salinity can be restored
PLZ IT'S URGENT!!!!!!!!I"LL MARK BRAINLIEST

Answers

Answer:

it damages land because t drowns organisms and gets rid of nutrients

Explanation:

The competence of a stream is affected by everything except
O velocity
water depth
O gradient
water volume
water temperature
The competence of a stream is affected by what?

Answers

Answer:

1. The competence of a stream is affected by everything except

water depth.

2. The competence of a stream is affected by:

a. flow velocity

b. slope gradient

c. water volume

d. water temperature, which increases or reduces the water volume.

e. riverbed frictions

Explanation:

Stream competence refers to the ability of a stream to transport a particular size of particle or debris.  The "competence" of a river or stream is measured by the largest particles that the river or stream can transport from one point to the next.

Which of the following accounts for why some American manufacturing companies have located factories in Mexico?​​​​​​​



Abundant capital resources,

A supply of inexpensive labor​​​​​​​

Favorable climate conditions​​​​​​​,

Political stability in the region

Answers

The correct answer is B. A supply of inexpensive labor

Explanation:

Manufacturing most products in Mexico is cheaper than doing this in the U.S. The main reason for this is that in Mexico labor (workers needed for production) is cheaper than in the U.S. This factor is related to the fact the currency in Mexico has less value than the currency in the U.S. and the social, economic, cultural conditions are different. Besides this, production can be easily controlled in Mexico because this borders the U.S. According to this, one factor that makes some American companies locate factories in Mexico is the supply of inexpensive labor.

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