polynomials and factoring

Question

-x^3+6x^2+16x

Answer 1

Given polynomial is-x^3+6x^2+16x

Take common out negitive x from above polynomial.

-x(x^2-6x-16)

-x(x^2-8x+2x-16)

-x[x(x-8)+2(x-8)]

-x(x-8)(x+2)

Factoring of given polynomial is -x(x-8)(x+2).