Question

Factor theorem
f(x) = 2x3 + 13x2 - 15x - 126; (x + 6)

Answer 1

To apply the factor theorem, substitute -6 for x in the polynomial:

f(-6) = 2(-6)^3 + 13(-6)^2 - 15(-6) - 126

Calculate this expression to check if it equals zero. If it does, then (x + 6) is a factor of the polynomial.