Determine whether the binomial (x+2) is a factor of the polynomial p(x)=x^3+12x^2+47x+60

Not a factor

Step-by-step explanation:

using the Remainder theorem

If ( x + 2 ) is a factor then x = - 2 is a root and P(- 2) = 0

P(- 2) = (- 2)³ + 12(- 2)² + 47(- 2) + 60

        = - 8 + 48 - 94 + 60 = 6 ≠ 0, hence

(x + 2) is not a factor of P(x)