Factor completely x 3 +2x 2 ­-15x

Question

A. 5x(x+1)(x-3)

B. x(x-3)(x+5)

C. x(x+5)(x+3)

D. -3x(x+5)(x+1)

Answer 1

You can see that each term of the given polynomial has a factor x. We can use the distributive property.

x³+2x²-15x = x(x² )+x(2x) -x(15)

= x(x²+2x-15) [ applying distributive property of multiplication over addition]

=x(x²+5x-3x -15) {using reverse foil, ie split 3=5-3 so that 5 *(-3) = -15]

=x(x(x+5)x -3(x+5))

=x(x-3)(x+5)

Your correct answer is B