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tatyana61 [14]
2 years ago
5

One factor of the polynomial 3x3 + 20x2 - 21x + 88 is (x + 8). what is the other factor of the polynomial? (note: use long divis

ion.)
oa (3x2 - 4x+11)
b. (3x - 4x)
c. (3x2 +11)
d. (3x2 + 4x - 11)
Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

The other factor of the polynomial is a. 3x2-4x+11

Given polynomial is 3x3 + 20x2 - 21x + 88 and the factor is (x+8)

We need to find another factor using long division method

So,

We will divide the polynomial by the factor to find the another factor

Therefore,

\sqrt[x+8]{3x^3+20x^2-21x+88}

Now calculating

First multiplying 3x^2 with (x+8) so , 3x^2 will be in the quotient

We get 3x^3+24x^2

simplifying the calculation for 3x^3+20x^2 and 3x^3+24x^2

We get the remainder is -4x^2-21x+88

Second we will multiply -4x with (x+8) Where -4x will be in the quotient

We get -4x^2-32x and then we will simplify the equation

We get 11x +88 as a remainder

The quotient we get is 3x^2-4x

Third we will multiply +11 with (x+8) Where +11 will be in the quotient

we get 11x+88

Simplifying the equation we get the remainder 0

So the quotient we get is  (3x2 - 4x+11)

Hence the another factor of the polynomial is  (3x2 - 4x+11)

Learn more about Long division method here

brainly.com/question/22153164

#SPJ4

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