Name:_________________________________
H2L3
Accordino-Math 7
Date:_________
Period:________
Lesson 3: Factoring a Trinomial (a = 1)
In to the Product of Two Binomials
Bellringer
(2 points) Factor each of the polynomials below by dividing out the greatest common factor:
A. 3𝑥 2 − 24𝑥
B. -7𝑥𝑦 2 + 24𝑥 2 𝑦 2
2. Which of the following is equivalent to the product of x(3x – 6)?
a. 3x2 - 6
b. 6x – 6x
c. 3x2 – 6x
d. 3x – 6x
Name:_________________________________
H2L3
Date:_________
Accordino-Math 7
Period:________
Lesson 3: Factoring a Trinomial (a = 1)
In to the Product of Two Binomials
Notes
What is a quadratic expression?
In "Standard Form" a Quadratic Expression is written in the form
ax2 + bx + c
Factoring a Trinomial when a = 1:
Example 1: 𝑥 2 + 4𝑥 − 12
Example 2: 𝑥 𝟐 − x − 56
Example 3: 𝑥 2 − 𝑥 − 6
Steps:
Name:_________________________________
H2L3
Accordino-Math 7
Date:_________
Period:________
Remember!...Factoring is the opposite of ___________________. So you can always multiply your two
factors together and if you get the original polynomial you can be sure you are correct.
Example 4: Which expression is equivalent to
?
1)
2)
3)
4)
Example 5: Which expression is a factor of
?
1)
2)
3)
4)
FUN! If
You Try!
is a factor of
, what is the value of b?
Name:_________________________________
H2L3
Accordino-Math 7
Period:________
Homework:
1. What are the factors of
?
1)
2)
3)
4)
2. What are the factors of the expression
?
1)
2)
3)
4)
3. Which expression is a factor of
?
1)
2)
3)
4)
4. Which is a factor of
1)
2)
3)
4)
Date:_________
?
Name:_________________________________
H2L3
Accordino-Math 7
For #5-12 factor each trinomial in to the product of two binomials.
Date:_________
Period:________
Name:_________________________________
H2L3
Accordino-Math 7
Date:_________
Period:________
Lesson 3: Factoring a Trinomial (a = 1)
In to the Product of Two Binomials
Exit Ticket
1. What are the factors of
1)
2)
3)
4)
2. Factor the polynomial 𝑎2 − 6𝑎 + 18
?