# How do you factor #36y^2+12y-35#?

##### 1 Answer

#### Explanation:

To factorize

we split the product of these two i.e. **difference** of the two parts is equal to coefficient of middle term i.e.

The only two parts whose product is

=

=

**Note** - (1) If signs are same select two numbers whose product is product of constant term and coefficient of highest power and **sum** is equal to middle term.

(2) In case one finds difficult to get two factors whose sum or difference is equal to middle term, try out starting from

Here you find a difference (or sum in case you need that) at a very late stage and hence takes time. But if product is large and sum/difference is much smaller, one can try starting with a factor, which is close to square root of the product. Here product was