Question

Which of the following is the correct factorization of the polynomial below? X3+ 10x2+25x?

Answer 1

x(x + 5)(x + 5) or x(x + 5)^2

Explanation:

x^3 + 10x^2 + 25x

= x(x^2 + 10x + 25)

= x(x + 5)(x + 5)

or x(x + 5)^2

Answer 2

x(x+5)^2

Explanation:

x^3+ 10x^2+25x

factor out an x

x(x^2+10x+25)

what numbers multiply to 25 and add to 10

x(x+5) (x+5)

x(x+5)^2