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:

link

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x