For P(x) = x^3 + 3*x^2 – 16*x – 48, which of the following are factors? Select all correct options.
Note
Use the Factor Theorem. A term of the form x - a is a factor of P(x) only when P(a) = 0. So do not choose a factor by appearance; test the value inside the bracket. For this polynomial, the correct listed factors are x - (-3), x - (-4). In other words, x - (-3) because P(-3) = 0, x - (-4) because P(-4) = 0. The other options are not factors because substituting their corresponding values does not make the polynomial equal to zero.
