The polynomial x^2 +3x+1 is a factor of x^3+2x^2-5x-6 select the best answer from the choices provided

true
false

A factor of a polynomial evenly divides the polynomial, without leaving a

remainder.

Reasons:

By long division we have;

Given that (x³ + 2·x² - 5·x - 6) ÷ (x² + 3·x + 1) = (x - 1) remainder (-3·x - 5), we have;

(x² + 3·x + 1) is not a factor of (x³ + 2·x² - 5·x - 6) because it does not evenly divides (x³ + 2·x² - 5·x - 6)

Therefore, the polynomial, x² + 3·x + 1 is not a factor of x³ + 2·x² - 5·x - 6, the

statement is false

Learn more about factors of a polynomial here:

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