Factoring Trinomials

Factoring Trinomials

​

By MS. BOULIGNY

​(HSA-SSE.A.1.a).

Bell Ringer discussion

1. Define the term sum.

2. What are factors of a number?

3. Determine if the answer to the equation would be negative or positive?​

   1. negative + negative=

   2. negative ​+ positive=

   3. negative * negative=

   4. negative * positive=​

5 minutes

What are the factors of the following numbers?

10 15 20 24 36

​

​Which factor pair of 10 have a sum of 7?

Which factor pair of 15 have a sum of 8?

W​hich factor pair of 20 have a sum of 21?

Which factor pair of 36 have a sum of 12?​

Multiple Choice

REVIEW: What is a trinomial?

• an algebraic expression with 3 terms

• an algebraic expression with 2 terms

• an algebraic expression with 1 terms

• an algebraic expression with 0 terms

Multiple Choice

What is the standard form of a trinomial?

• HUH?

• x+y=b

• ax²+bx+c

• y=mx+b

Steps to factor trinomials in standard form

1. ​List the factor pairs of c

   ax²​+Bx+c

2. Determine which factor pair of c has a sum of b​

3. Use the m and p to write the factored form:

   (x+M)(x+p)​

4. FOIL TO CHECK YOUR ANSWER​

​Examples:​

x²​+7x+12

​​

​

x²​+4x-12

practice with a partner

Complete the first 2 rows of equations on your worksheet by yourself with your partner. Don't forget to FOIL to check your answer.

• 10 minutes​

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Exit ticket

10 BONUS POINTS TO THE TOP 3

Open Ended

Factor the trinomial: x²+7x+6

Open Ended

Factor the trinomial: x²-10x-24

Open Ended

Factor the trinomial: x²-9x-22

Open Ended

Factor the trinomial: x²-2x-15