Question

How do you factor 5x^2b^2 + 14xb^2 -3b^2

Answer 1

`5b^2(x-0.2)(x+3)`

Explanation:

The first thing that I noticed was that all of the terms had a common factor of
`b^2`. You can therefore factor that out first:

`5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)`

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

`5b^2(x-0.2)(x+3)`

Hope this helps!