Question

Factor completely show your work 9x^3 +36x^2 -x -4

Answer 1

To factor 9x^3 + 36x^2 - x - 4, we can use the grouping method:

9x^3 + 36x^2 - x - 4

= (9x^3 - x) + (36x^2 - 4)

= x(9x^2 - 1) + 4(9x^2 - 1)

= (9x^2 - 1)(x + 4)

Therefore, the factored form of 9x^3 + 36x^2 - x - 4 is (9x^2 - 1)(x + 4).