SAT College

What it means that [If x is a factor of p(x), what is the value of k?]
I can't understand [x is a factor of p(x)] and how i solve this question.

What It Means That [If X Is A Factor Of P(x), What Is The Value Of K?]I Can't Understand [x Is A Factor

Answers

Answer 1

Answer:

[tex]k = -4[/tex]

Explanation:

Given

[tex]P(x) = (3x^2 - 5)(x + k) - 20[/tex]

x is a factor

Required

Solve for k

x is a factor means that the polynomial can be divided successfully by x.

In other words, x is a zero of the polynomial.

i.e.

[tex]x = 0[/tex] and [tex]P(x) = 0[/tex]

Substitute 0 for x in P(x)

[tex]P(x) = (3x^2 - 5)(x + k) - 20[/tex]

[tex]P(x) = (3*0^2 - 5)(0 + k) - 20[/tex]

[tex]P(x) = (0- 5)(k) - 20[/tex]

[tex]P(x) = (-5)(k) - 20[/tex]

[tex]P(x) = -5k - 20[/tex]

Substitute 0 for P(x)

[tex]0 = -5k - 20[/tex]

Collect Like Terms

[tex]5k = - 20[/tex]

Divide both sides by 5

[tex]k = -4[/tex]

Related Questions

What is the difference between a word's denotation and connotation?
write two to three sentences

Answers

One word can have a both a “denotation” and a “connotation”. These are called “figures of speech”. DENOTATION: The direct definition of the word that you find in the dictionary. CONNOTATION: The emotional suggestions of a word, that is not literal.
A connotation is the baggage a word or idea drags around. The word "baggage" often has a negative connotation. If you say someone has baggage, unless they're at the airport, you mean the person is lugging around some drama. Some words, like "awesome birthday cake," have a positive connotation. Here are some other examples:

"Long before the Christian era, people celebrated the winter equinox. Let's remove religious connotations and call it the winter equinox break." (Washington Post)

"I kind of hate that word 'collector' because it has such a financial investment connotation." ( Los Angeles Times)

"Bryan has instead always opted for baseball caps, a fashion item that carries few connotations other than a sense of casualness and youth." (The Guardian)

Denotation is literally the word for a word! It's the literal meaning of a word, a gesture, or any mark, without emotion. No strings attached. The root of denotation means, "make a note of." Let's make a note of these examples:

"In fact, the 'Parks and Recreation' alum said he didn't know the word's medical denotation." (Los Angeles Times)

"Mr. McDougall gave a strange charge to a gesture that, in Baroque dance, probably has a simple denotation." ( New York Times)

People love to read between the lines, so connotation is more popular, but it's often held up against its more rigid friend denotation.

What is your thoughts on the Daybell case

7-8 sen.

Answers

Answer:

it was intence

Explanation:

A swimmer accelerates from 12 m/s to 13 m/s over 10 s. How much did the velocity change?
1 m/s
2 m/s
3 m/s
25 m/s

Answers

1 m/s in 10 secs =0.1 in 1

Why should we study music and why

Answers

Answer:

so thatt you get shot

Explanation:

e

f (x) = (x + 2)(x - 1)[x - (4 + 31)][x - (4 - 3i)]

Answers

Answer all the answers are 3,5,3,2

Explanation:took the assignment

Answer:

for edge its 3,5,4,4

Explanation:

Fornite Sucksssssssssssss

Answers

Answer:

cuz ur bad at the game

Explanation:

Compare and contrast a driver of a car and truck

Answers

Answer:

A driver of a car and a driver of a truck have a few things in common, one of them being that they are operating a vehicle, and another being that they usually have the same driving techniques, you could say. A brake pedal, gas, the same shifts. A difference between them is, a truck is much larger than a regular car, therefore the driver must be extra careful while driving. They must be aware of cras on either side of them, in the front and the rear as well. Car drivers must be aware of trucks and other larger vehicles, though, because of their smaller size.

Explanation:

I hope this helps you! Please mark brainliest! ;)

please help !!!!!!!!!!!!!

Answers

Answer:

c

Explanation:

C.

It the right answer it think

thankyou yaraaaaa and papasgirl19​

Answers

Answer:

welcome dear

there is no need of it

Which economic concept allows business to freely buy and sell goods as see fit?

Answers

Free enterprise, or the free market, is an economic system where private individuals can form companies and buy and sell competitively in the market with a minimum of government interference. Your welcome and can inahev Brainly plz

Answer: property rights

Explanation: ap*x

A swimmer accelerates from 12 m/s to 13 m/s over 10 s. What is the acceleration?
0.1 m/s²
0.2 m/s²
0.25 m/s²
3 m/s²

Answers

Answer:

0.1

Explanation:

1 m/s in 10 secs = 0.1 in 1

Define sonata, prelude & fugue, oratorios, and cantatas. Name composers of the baroque era from Italy, England, France.



also plz dont say anything help ​

Answers

Answer: is the SAT hard?

Explanation:

Other Questions
Southern states seceded after Abraham Lincoln was elected president because Lincoln: O A. publicly supported John Brown's raid on Harpers Ferry. B. declared that all slaves must be immediately freed.O C. refused to support the spread of slavery into new states. O D. promised that he would not use the military to stop secession.please help How did entertainment in Ancient Rome lead to its fall? Will give brainiest to correct answer40x + 45 What was Billy's reaction when he saw the seaman? What did he call the seaman? Find the equation of the line parallel to y=6 that contains the point (-1,1). Write the equation in slope intercept form hello help please ill mark brainliest!!! thankss Need help bad I need someone to fix these sentences and add anything that will make it correct Im rewarding points + brainalist please help a brother out (: As rain seeps into the soil and becomes groundwater, it can travel into the saturated zone and become part of A. the ocean.B. a pond.C. an aquifer.D. surface runoff. help help help help help help help help x=a+b+4 and a is inversely proportional to y; b is inverseley propotional to 1/y. when y = 2 x = 18 and when y = 1 x = -3. find x when y = 4 PLS HELP ME FIND MEASURE AED One way that the Texas Constitution and the U.S Constitution are similar is that both established a government divided into Match these items. Match the items in the left column to the items in the right column.1. normal for Christians Christian faith 2. the result of growth in Christ temptation 3. that our minds be renewed and we become more like Christ the devil 4. a system of relationships, ideas, and values opposed to the Kingdom of God maturity 5. overcomes the world the Bible 6. resides in the mind and intellect the flesh 7. hates God and his people service 8. main way that Satan causes problems the world 9. most important key to growth in Christ fellowship 10. God does not want us to neglect this key to growth in Christ prayer 11. "washing the feet" of others growth 12. especially important to study God's desire So this one may be really hard. How did Germany Punish the Treaty of Versailles? (write 5 ways Germany was punished) Kacey is making a bracelet that is 8 inches long. She uses 1 green bead at each end of the bracelet. She also uses 1 green bead every 2 inchesbetween the two ends. How many green beads does she use?A. 16B. 7C.5D.4 what is the arc of a semicircle with a diameter of 8? What role is the governor fulfilling when he calls the Virginia NationalGuard to respond to flooded areas?A Chief of stateB Commander-in-chiefC Chief legislatorD chief of party Who was involved in battle of Jutland which was the only animal indigenous to the Americas? helpppppppppppppppppppppppp i need an answer