Given the polynomial 2x^3+18x^2-18x-162, what is the value of the constant "k" in the factored form?

2x^3+18x^2-18x-162 = 2 (x+k) (x-k) (x+9)

Question

Maximus Olsen

23 October, 09:16

+5

Answers (1)

Know the Answer?

Cyrus Harrell · Answer 1

2x³+18x² - 18x-162 =

2 (x³+9x²-9x-81) =

2 (x² (x+9) - 9 (x+9)) =

2 (x²-9) (x+9) =

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

Answer: k=3

Given the polynomial 2x^3+18x^2-18x-162, what is the value of the constant "k" in the factored form?2x^3+18x^2-18x-162 = 2 (x+k) (x-k) (x+9)