Asked by Marie P.
A polynomial function P is given.
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.)
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.)
Answers
Answered by
Reiny
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
(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
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