MATH SOLVE

5 months ago

Q:
# BRAINLIEST ANSWER GOES TO WHOEVER ANSWERS IN THE NEXT FIVE MINS!!Determine if x - 2 is a factor of p(x) = x 4 - 3x 2 + 2x - 8, and EXPLAIN WHY:)

Accepted Solution

A:

If x-2 is a factor of the polynomial, then x = 2 must make it zero.

We proceed to replace x = 2 in the polynomial:

16-12+4-8 = 0

As we can see, x-2 is a factor of the polynomial.

Factoring the expression, we obtain:

(x-2)(x^3+2x^2+x+4)

It is shown that x-2 is a factor of the polynomial.

We proceed to replace x = 2 in the polynomial:

16-12+4-8 = 0

As we can see, x-2 is a factor of the polynomial.

Factoring the expression, we obtain:

(x-2)(x^3+2x^2+x+4)

It is shown that x-2 is a factor of the polynomial.