A polynomial function P is given.

Question

P(x) = x4 − 13x2 + 36; [−6, 6] by [−260, 260]

Find all solutions of the equation P(x) = 0. (Enter your answers from smallest to largest.)

Answer 1

x^4 - 13x^2 + 36 = 0
(x^2 - 4)(x^2 - 9) = 0
(x - 2)(x + 2)(x - 3)(x + 3) = 0

so x = ±2, ±3

or x = -3, -2, 2 3