A polynomial P of degree 3 with integer coefficients has zeroes x = 3, x = -9, and x = 1. Use the factor theorem to write the polynomial in factored form.
A) P(x) = (x + 3)(x - 9)(x + 1)
B) P(x) = (x - 3)(x + 9)(x - 1)
C) P(x) = (3x + 1)(-9x + 1)(x + 1)
D) P(x) = (-3x + 1)(9x + 1)(-x + 1)

Question

Quizplus · Accepted Answer

The factor theorem states that if $r$ is a root of a polynomial, then $(x - r)$ is a factor of that polynomial. Given the roots $x = 3$, $x = -9$, and $x = 1$, the factors are $(x - 3)$, $(x + 9)$, and $(x - 1)$, respectively, which corresponds to choice B.

A Polynomial P of Degree 3 with Integer Coefficients Has