✅ Factoring Trinomials when a>1

✅ Factoring Trinomials when a>1

Quick Review

Remember To first see if you have a GCF

Example

 $3x^2-11x+10$  

Multiple Choice

Does

 $3x^2-11x+10$  have a GCF

• Yes

• No

No It Doesn't

So what do we do?

Slip

 $3x^2-11x+10$  

 $x^2-11x+10\cdot3$ 

 $x^2-11x+30$  ---Factor 

 $x^2-11x+30\$  

What two numbers multipled will give me postive 30 and sum give me -11?

Multiple Choice

What two numbers multiplied will give me positive 30 and sum give me -11?

• -1 and -30

• 5 and 6

• -5 and -6

• -2 and -15

-5 and -6

 $\left(x-5\right)\left(x-6\right)$  ?

 $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left(x-\frac{5}{3}\right)\left(x-\frac{6}{3}\right)$    

 $\left(3x-5\right)\left(3x-6\right)$  

Now we are Done