How do you factor #x³+7x²+10x#?

1 Answer
Jan 13, 2016

Factoring involves looking for patterns, such as common factors and numbers that add to one term and multiply to another.


The first step is to look for factors that are common to all terms. In this case, every term has at least one #x# term, so we can factor that out.


Now in the backets, we look for numbers that add to the second coefficient, and multiply together to make the final term. In this case. two numbers that add to 7 and multiply to 10. It seems that 2 and 5 fit the bill, so it factors to: