Question

Factor as the product of two binomial x^2+3x+2= _____

Answer 1

We are given the trinomial

`x^2+3x+2`

We can factor it as the product two binomials as

`(x+a)(x+b)`

Where

a and b are two numbers that has

• a product of 2

,

• a sum of 3

So, which two numbers multiplied gives us "2" and added gives us "3"?

It is "+2" and "+1".

Thus, we can factor the trinomial as:

`\begin{gathered} x^2+3x+2 \\ =(x+2)(x+1) \end{gathered}`