Question

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

show your work

Answer 1

First, distribute the x+3 to each term of the second binomial:

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

This simplifies to:

3x^3 + 4x^2 - 2x + 9x^2 + 12x - 6

Combining like terms:

3x^3 + 13x^2 + 10x - 6

Therefore, (x+3)(3x^2+4x-2) simplifies to 3x^3 + 13x^2 + 10x - 6.