# How do you factor #x^2-5x+6#?

##### 2 Answers

take the product to be 6 and sum to be -5

so you will get the factors as

so you take like

then take the common factor from any two terms

Use middle term splitting.

#### Explanation:

Consider the given equation:

Here

sum = -5

product = 6

Consider the pair of numbers which when multiplied gives a product (6) and sum (-5).

Since the product is positive, either both numbers should be positive or both numbers should be negative.

The options are:

So,

Now, group the terms.

Then,