# How do you express #(2x^2+4x+12)/(x^2+7x+10)# in partial fractions?

##### 1 Answer

Mar 1, 2016

#### Explanation:

To resolve into partial fractions, factor the denominator and split it into fractions. Note that A and B stands for constants. Once you split it up then multiply everything on both sides by x+2, simplify, then put in -2 for x to zero out the other fraction so we can solve for A. Do the same thing for B. Multiply everything on both sides by x+5 and put in -5 to zero out the A so we can solve for B. Once you find the values for A and B then put it into the partial fractions at the beginning.