# How do you factor the expression #x^2+ 2x -3#?

##### 2 Answers

(x + 3 )(x - 1 )

#### Explanation:

To factor , consider the factors of the constant term - 3 which sum to give the coefficient of the x term +2

factors of - 3 are ± (1 , 3 )

The required factors are +3 and - 1 ,as they sum to +2.

#rArr x^2 + 2x - 3 = (x + 3 )(x - 1 )# This may be confirmed by distributing the brackets.

This is a trinomial of the form

#### Explanation:

We can find the value of m and n by finding two numbers that multiply to c and that add to b. Two numbers that multiply to -3 and that add to +2 are 3 and -1:

So, when factored, the expression is

**Practice exercises:**

- Find which of the following trinomials are factorable. For those that are, factor them
**completely**.

a)

b)

c)

d)

d)

e)

f)

g)

h)

Good luck!