Question

Factor completely.
2x^4 + 4x^3 - 30x^2 =

Answer 1

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

Explanation:

The Greatest Common Factor is 2x^2, so:

2x^4 + 4x^3 - 30x^2

= 2x^2(x^2 + 2x - 15) Now we factor the quadratic in the parentheses:

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

Answer 2

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

Explanation:

The first thing that you can do is to factor out an x^2 from the expression.

x^2(2x^2+4x-30)

The next step is to factor out a 2.

2x^2(x^2+2x-15)

Finally, you can factor the quadratic inside.

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

And now you're finished! Hope this helps!