Question

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

Answer 1

Answer:

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

Step-by-step 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!