Transcript Factoring Polynomials

GROUPS of 4 with desks
Check homework with group
If not done last night,
use phones to check for
correct answers!
Thursday: Announcements
• Friday is the end of the
Grading
Period
• Check grades in Skyward for all
classes to see if any errors (missing
or incorrect grades)
• Upcoming Retest
nd
2
Re-testing Unit 4
Complete Test Corrections and then
Retest NO LATER Than Wednesday
TUTORIALS Thursday
Friday
Monday
Tuesday
Morning
7:45am
YES
YES
YES
YES
Afternoon
3:55 pm
YES
NO
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YES
Section 4-4
Factoring a trinomial
2
ax + bx + c
When a = 1
Objectives
•I can factor a trinomial in
format:
2
• ax + bx + c
FOIL Review
( x  6)( x  5)
( x  7)( x  3)
Multiply these with FOIL
FOIL Review
( x  6)( x  5)
First Terms
x
2
Outside Terms
Inside Terms
Last Terms
5x
6x
30
x  1x  30
2
FOIL Review
( x  7)( x  3)
First Terms
x
Outside Terms
Inside Terms
Last Terms
3x
7x
21
2
x  4 x  21
2
Factoring a Trinomial
• When factoring an expression with 3 terms
you will always get two factors
• x2 + bx + c
( x  #)( x  *)
Factoring a Trinomial
x  bx  c
2
( x  ___)( x  ___)
What do these numbers have to be?
x  bx  c
2
( x  ___)( x  ___)
What do these numbers have to be?
They MULTIPLY to "c"
They ADD to "b"
FOIL Method
x  5x  6
2
( x  #)( x  *)
The two numbers # and * must multiply
together to equal 6
The two numbers # and * must add up to 5
Example 1
x  5x  6
2
( x  __)( x  __)
( x  2)( x  3)
Factoring Tree
6
1
6
1  6
2 3
2  3
Example 2
x  3x  18
Factoring Tree
( x  __)( x  __)
1 18
2
( x  3)( x  6)
18
1  18
2 9
2 9
3 6
3 6
Example 3
x  3x  8
2
( x  __)( x  __)
PRIME
Factoring Tree
8
1 8
1 8
2 4
2 4
GROUP Practice
• Complete the 4 problems on the
front side of your ½ sheet!!
• Put your Name at the TOP
• Be READY to present your
answers!!
Exit Slips
• Complete the 4 problems on the
BACK side of your ½ sheet!!
• In TOP right corner list the
number of your choice for BEST
Pumpkin Design
• Get Homework : WS 5-2
Example 3
x  4x  4
2
( x  __)( x  __)
( x  2)( x  2)
Factoring Tree
4
1
4
1  4
2 2
2  2