Question

Multiply the polynomials (4x^2-2x+3)(3x^3+5x^2-x). Simplify the answer.

Answer 1

Explanation:

(4x^2-2x+3)(3x^3+5x^2-x)

= 4x^2(3x^3+5x^2-x) - 2x(3x^3+5x^2-x) + 3(3x^3+5x^2-x)

= 12x^5 + 20x^4 - 4x^3 - 6x^4 - 20x^3 + 2x^2 + 9x^3 + 15x^2 - 3x

= 12x^5 + 14x^4 - 15x^3 + 17x^2 - 3x.