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)