Question

Select the correct answer. What is the completely factored form of this polynomial? 2x5 + 12x3 − 54x A. 2x(x2 + 3)(x + 9)(x − 9) B. 2x(x − 3)(x + 9) C. 2x(x2 + 3)(x + 3)(x − 3) D. 2x(x2 − 3)(x2 + 9)

Answer 1

D

Explanation:

2x(x^4 + 6x^2 - 27)

x^4 + 6x^2 - 27 = 0

x^2 = y

y^2+ 6y - 27 = 0

(y+9)(y-3) = 0

(x^2+9)(x^2-3) = 0

2x(x^2-3)(x^2+9)