Question

Which of the following best describes the relationship between (x - 2) and the

polynomial 2x3 + x2-3?

Answer 1

If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynomial is equal zero.

Substitute:

2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0

Answer: B) (x - 2) is not a factor.