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3 years ago

Match each polynomial function w/ one of its factors.

Mathematics

2 answers:

gladu [14]3 years ago

8 0

Answer:

See below in bold.

Step-by-step explanation:

The first one looks like x + 3 might be a factor. By the Factor Theorem :To check we plug in x = -3 to see if the f(3) = 0.

f(3) = -27 - 27 + 39 + 15 = 0

So x+3 is a factor of x^3 - 3x^2 - 13x + 15.

x^3 - 2x^2 - x + 2

Because of the last term +2 , it looks like x - 2 might be a factor of this so we evaluate f(2)

f(2) = 8 - 8 - 2 + 2 = 0

So x - 2 is a factor of x^3 - 2x^2 - x + 2 .

x^4 + 3x^3 - 8x^2 + 5x - 25.

Because of the - 25 x + 5 could be a factor so try f(-5)

= (-5)^4 - 3* -125 - 8*25 + 5 * -5 - 25 = 0

So x + 5 is a factor of x^4 + 3x^3 - 8x^2 + 5x - 25.

Finally we check if (x + 4) is a factor of -x^3 + 13x - 12 :

f(-4) = - (-4)^3 + 13*-4 - 12 = 0.

So x + 4 is a factor of -x^3 + 13x - 12.

ololo11 [35]3 years ago

4 0

Answer: 1 goes with 2 4 goes with 3

Step-by-step explanation:

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Which of the following is the quotient of the rational expressions shown here?

alisha [4.7K]

Answer:

x^2 /(x^2 -36)

Step-by-step explanation:

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Copy dot flip

x/(x-6) * x/(x+6)

x^2/ ( x-6)(x+6)

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7 0

3 years ago

What is the value of x? I NEEED HELP!!

luda_lava [24]

7-2(180) = 900°
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3 years ago

At a branch office of the company, 350 people are polled and 125 indicate they are in favor of using a corporate American Expres

AlladinOne [14]

Answer:

The P-value is Less than 0.0005%.

Step-by-step explanation:

We are given that at a branch office of the company, 350 people are polled and 125 indicate they are in favor of using a corporate American Express card.

A recent survey at the main corporate headquarters revealed that the 400 employees who responded to the survey indicated that 350 wanted to stay with the American Express Card.

Let $p_1$ = proportion of employees at the headquarters who want the American Express Card.

$p_2$ = proportion of employees at the branch office who want the American Express Card.

So, Null Hypothesis, $H_0$ : $p_1\leq p_2$ {means that the percentage of employees at the headquarters who want the American Express Card is smaller or equal to the percentage of employees at the branch office}

Alternate Hypothesis, $H_A$ : $p_1>p_2$ {means that the percentage of employees at the headquarters who want the American Express Card is greater than the percentage of employees at the branch office}