Mathematics, 21.09.2019 11:10 ilianysacosta10

Factor 360t + 10t ^3 - 120t ^2.
10t(t - 6)(t + 6)
10t(t - 6)^2
-10t(t - 6)(t + 6)

Answers: 1

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Answers

The answer is:  [B]: " 10t (t - 6)² "

Note:

Choice [A]:  10t(t - 6)(t + 6) = 10t (t² - 36) = 10t³ - 360t .

Choice [C]: is similar; except with "-10t" in lieu of "10t" :

   -10t (t-6)(t+6) = -10t (t² -36) = -10t³ + 360t ;

This leaves us with the remaining answer choice:

Answer choice: [B]: " 10t (t - 6)² " .

But let us check:

(t - 6)² = (t - 6)(t - 6) = t² - 6t - 6t + 36 = t² - 12t + 36 ;

10t (t² - 12t + 36) = 10t³ - 120t² + 360t ;

which equals the value presented in the question:

which is: 360t + 10t³ - 120t² "

Note: "our solved value: " 10t³ - 120t² + 360t " = ?
(the value in the question: " 360t + 10t³ - 120t² " ?

360t + 10t³ - 120t² =? 10t³ - 120t² + 360t ??

                              = +360t +10t³ - 120t² ?? YES!

The answer is:  [B]: " 10t (t - 6)² " .

Answer from: Quest

step-by-step explanation:

Someone i will give brainliest to the first correct answer given the image, solve for x

Answer from: Quest

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2 polynomial long division

dividing : x4+5x3-4x2-8x+6

("dividend")

by : x-1 ("divisor")

dividend x4 + 5x3 - 4x2 - 8x + 6

- divisor * x3 x4 - x3

remainder 6x3 - 4x2 - 8x + 6

- divisor * 6x2 6x3 - 6x2

remainder 2x2 - 8x + 6

- divisor * 2x1 2x2 - 2x

remainder - 6x + 6

- divisor * -6x0 - 6x + 6

remainder 0

quotient : x3+6x2+2x-6 remainder: 0

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You know the right answer?

Factor 360t + 10t ^3 - 120t ^2.
10t(t - 6)(t + 6)
10t(t - 6)^2
-10t(t - 6)(t + 6)...