Factor the polynomial and use the factored form to find the zeros. (Enter your a

User Generated

FBFHER

Mathematics

Description

P(x) = x4 − 2x3 − 8x + 16

x = 

 

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Explanation & Answer

P(x) = x^4 − 2x^3 − 8x + 16

x^4 − 2x^3 − 8x + 16 = 0

x^3(x - 2) - 8(x - 2) = 0

(x^3 - 8)(x - 2) = 0

(x - 2)(x^2 + 2x + 4)(x - 2) = 0

x = 2   x = 2    x^2 + 2x = - 4

                       x(x + 2) = - 4

                       x = - 4      x = - 6


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