Question

Which statement best justifies whether (x-3) is a factor of the polynomial p(x)=x3-3x2-2x-6?

Answer 1

The polynomial P(3) is not equal to zero, hence the function x - 3 is not a factor of the polynomial function given

Given the polynomial function of degree 3 expressed as

p(x) =x³-3x²-2x-6

In order to determine whether x - 3 is a factor, we will follow the simple steps below;

Let r(x) = x- 3

Since x - 3 is a factor, hence r(x) = 0]

x - 3 = 0

]x = 3

Substitute x = 3 into the polynomial function to see if p(3) = 0

P(3) = x³-3x²-2x-6

P(3) = 3³-3(3)²-2(3)-6

P(3) = 27 - 27 - 6 - 6

P(3) = -6-6

P(3) = -12

Since the polynomial P(3) is not equal to zero, hence the function x - 3 is not a factor of the polynomial function given

Learn more here: brainly.com/question/19030198