Write the polynomial in factored form. 4x3 + 8x2 - 96x

Question

Mathematics

Quintin

16 March, 20:48

Write the polynomial in factored form. 4x3 + 8x2 - 96x

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Answers (1)

Know the Answer?

Franco Cooke · Answer 1

4x^3+8x^2-96x = 4x (x-4) (x+6)

Explanation:

4x^3, 8x^2 and 96x have 4x as a common factor. Hence

4x^3+8x^2-96x = 4x * (x^2+2x-24)

Furthermore, (x^2+2x-24) = (x-4) (x+6)

because 6-4=2 and 6 * (-4) = - 24.

So 4x^3+8x^2-96x = 4x * (x^2+2x-24) = 4x (x-4) (x+6).