WARM UP
1)
2)
Is 741 prime or composite? If composite, find the
prime factorization.
Find the GCF of 34x3y6 and 153x2y3
Factor completely by GCF or Grouping or say Prime
3) 60a7b8- 36a5b
4) 5a2 + 21ab – 20b2
5) 14xy – 21xz + 4y – 6z
AMIGO BINGO

You have 3 minutes to fill in your Amigo Bingo
board with your classmates’ names. Make sure you
mix them up!
QUESTION #:
GCF & GROUPING QUIZ


After quiz: Worksheet
Find two numbers that multiply to give you the
top number and add to give you the bottom
number.
HOMEWORK



Mixed Review Worksheet 1
Pick 5 more questions to do on 2.2 HW!
(Factoring By Grouping)
Get Progress Report signed if you haven’t already
WARM UP

1.
Factor the following polynomials:
3xy + 12y + 4x + 16
2.
3r + rx + 6t + 2xt
3.
2x – 6 + x2 – 3x
4.
18x2 – 15x
FEB. 12TH
FACTORING TRINOMIALS WITH NO GCF
Review: Multiply (x + 2)(x + 3)
x2 + 3x + 2x + 6
x2 + (3 + 2)x + (3 * 2)
Now we will go in reverse!
Start with x2 + bx + c and end up with 2 factors
Examples:
1. x2 + 11x + 18
We need 2 #’s whose
product is 18 and sum is 11
EXAMPLES
2. Factor.
a2 – 9a + 20
3. Factor.
c2 – c – 30
PATTERNS IN FACTORING
If
c is positive (x2 + bx + c), then both
binomials will have the sign of b.
If
c is negative (x2 + bx – c), then you
will have one binomial with
addition, and one with subtraction.
FACTORING POLYNOMIALS POSTER
x2 – 16x – 17
1x2 – 16x – 17
(x – 17)(x + 1)
-17 x 1 = -17
-17 + 1 = -16
FACTOR
x2 + 7x + 10
FACTOR
x2 - 4x - 21
FACTOR
x2 - 8x + 7
HOW DO I KNOW WHAT TO DO, WHEN?
 Always
check for a GCF! And if there is
one, factor (un-distribute) it FIRST.
 After
it’s factored out or if there isn’t one,
see how many terms it has.
4
3
terms  factor by grouping
terms  factor the trinomial (like we did
today)
MIXED FACTORING EXAMPLES

Factor.
2x2 + 12x + 18

Factor.
18x2 – 9xz + 24xy – 12yz
FACTORING EXAMPLES
1. x2 – 4x + 3
2. 18 + y2 + 11y
HOMEWORK
9.3
Skills Practice
# 2 – 26 even