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

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

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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! ;)

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

Fornite Sucksssssssssssss

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Answer:

cuz ur bad at the game

Explanation:

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Answers

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Explanation:took the assignment

Answer:

for edge its 3,5,4,4

Explanation:

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



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Answers

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Explanation:

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7-8 sen.

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it was intence

Explanation:

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Answer:

c

Explanation:

C.

It the right answer it think

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Answers

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so thatt you get shot

Explanation:

e

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

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.

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Answers

Answer:

welcome dear

there is no need of it

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