Mathematics: Select all of the roots of x3 + 2x2 – 16x– 32. –1 –2 –4 1 4 5

Select all of the roots of x3 + 2x2 – 16x– 32. - id322163218044684, alyssavwil233

3345

15.10.2020

The roots are -2,-4 and 4

B, C and E are correct.

Step-by-step explanation:

Given: x^3+2x^2-16x-32

We are given a cubic polynomial. We have to find the roots of the polynomial. Roots are the x-intercept of polynomial.

First we will set the polynomial to 0 and solve for x

x^3+2x^2-16x-32=0

x^2(x+2)-16(x+2)=0

(x+2)(x^2-16)=0

(x+2)(x+4)(x-4)=0 $\because a^2-b^2=(a+b)(a-b)$

Now, we will set each factor to zero and solve for x

$x+2=0\ \ \ \ x+4=0\ \ \ \ \ \ \ x-4=0$

x=-2,-4,4

Hence, The roots are -2,-4 and 4

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