Question

Determine if x−2 is a factor of p(x)=x^4−3x^2+2x−8, and explain why.

ANSWER NEEDED ASAPP TYY

Answer 1

It is a factor

Explanation:

If x - 2 is a factor, x = 2 should be a root

p(2) = 2⁴ - 3(2²) + 2(2) - 8

p(2) = 0

Therefore 2 is a root and x - 2 is a factor

Answer 2

x-2 is a factor of p(x)

Explanation:

To calculate whether x-2 is a factor of p(x), you have to substitute x = 2 into the function :

p(x) = x⁴ - 3x² + 2x - 8

Let x = 2,

p(2) = 2⁴ - 3(2)² + 2(2) - 8

= 16 - 12 + 4 - 8

= 0

*If p(x) is 0, means that it is the correct factor. If

p(x) is not equals to 0, it is not a factor of p(x).