Factoring Trinomial Expressions with a = 1

Factoring Trinomial Expressions with a = 1

Grab something with which to write and multiply!

Multiple Choice

Let's review multiplication again! What is the product of

 $\left(x+2\right)\left(x-3\right)$  ?

•  $x^2-x-6$  

•  $x^2-x-5$  

•  $x^2+x-6$  

•  $x^2+x+5$  

Our goal for today is to find the two factors that created a quadratic trinomial

or... if we have the product

 $x^2+10x+25$  , what were the factors  $\left(?+?\right)\left(?+?\right)$  

 $x^2+10x+25$  =

 $\left(x+?\right)\left(x+?\right)$  

Multiple Choice

Now let's review what two numbers will multiply to 25 and add up to 10?

• 5, 5

• -5, 5

• -5, -5

• none of the above

Let's put all of it together!

 $x^2+10x+25$  =

 $\left(x+5\right)\left(x+5\right)$  

Let's try another one!

 $x^2+5x+4$  

 $\left(?+?\right)\left(?+?\right)$  

How do we get

 $x^2$  ?

What are factors of 4 that will add up to 5?

Put it together!

 $x^2+5x+4$  =

your answer in the chat