Question

1. Solve (-18x^3 + 17 +6) / (3x + 2)

A) -6x^2 + 4x + 3

B) 6x^2 + 4x – 3

C) -6x^2 + 4x – 3

D) 6x^2 – 4x +3

Answer 1

Let us begin by simplifying the expression (-18x^3 + 17 +6) / (3x + 2):

- Combine the constants (17+6) to get 23.

- We now have (-18x^3 + 23) / (3x+2).

- Factor out -3 from the numerator to get -3(6x^3 -23)/ (3x+2).

- We can now cancel out the (3x+2) in both the numerator and denominator to get:

-3(6x^2 - 4x + 3)

Therefore, the answer is (C) -6x^2 + 4x - 3.