Question

What is the factorization of the polynomial below? -3x^3+15x^2+42x

Answer 1

Factoring out x

x(-3x^2+15x+42)  now factor parenthetical expression

x(-3x^2+21x-6x+42)

x(-3x(x-7)-6(x-7))

x(-3x-6)(x-7)  we can factor out -3 from first parentheses

-3x(x+2)(x-7)