Question

Which of the following best describes the relationship between (x-3) and the polynomial x^3+4x^2+2?

A. (x-3) is a factor.

B. (x-3) is not a factor.

C. It is impossible to tell whether (x-3) is a factor.

Answer 1

B. (x-3) is not a factor.

Explanation:

Answer 2

This is the concept of polynomials, to get the relationship between the (x-3) and (x^3+4x^2+2) we shall proceed as follows;
we first test if (x-3) is a polynomial;
x-3=0
thus;
x=3
substituting the value of x in the polynomial we get:
(3)^3+4(3)^2+2
=65
since the result is not equal to 0, we conclude that there is no relationship between (x-3) and the polynomial. The answer is B. (X-3) is not a factor