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]

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Answer:

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Explanation:

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

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

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Answers

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Answers

Answer:

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Explanation:

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