Question

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.

x - 5; 3x^2 + 7x + 40

Answer 1

YES right?

Answer 2

x-5 is not a factor

Answer 3

so no?

Answer 4

nope

Answer 5

x-5 is a factor if substituting 5 in the second gives 0:

3*5² + 7*5 + 40 = 75 + 35 + 40 = 150 <> 0, so NO.

Answer 6

this cant be factored
check the value of D (discriminant) = b^2-4ac
if D < 0, it has complex roots