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Directions: Draw the quad card on your paper, but replace each
definition with the vocabulary term that it matches.
Rewriting an
expression as the
product of
factors.
Chapter 4.4
Vocabulary
A trinomial that
the square of a
binomial
The largest
common number
that will divide
into a set of
numbers evenly.
4x2 – 16 is an
example of this
special type of
trinomial.
Before you leave today, you should be able to:
- find common and binomial factors of
quadratic expressions.
- Factor special quadratic expression.
CCRS: 7
ax2+ bx+c ax2+ bx– c ax2 –bx –c ax2–bx +c
Example
Factor:
x2 + 4x+3 x2 +2x -3 x2 -2x -3 x2 – 4x+3
(
)(
) (
)(
) (
)(
) (
)(
)
A) x2 + 9x + 20
c) –x2 + 13x -12
B) x2 + 14x -72
a)
x2 + 14x + 40
b)
x2 -11x + 30
c)
-x2 + 14x + 32
Remember: Greatest Common Factor (GCF)
A) 6n2 + 9n
B)
4x2 + 20x - 56
What is the expression in factored form?
a) 7n2 -21
b)
9x2 + 9x – 18
c)
4x2 + 8x + 12
a) 2x
2
+ 11x + 12
b) 4x2 – 4x -3
a)
4x2 + 7x + 3
b) 2x2 – 7x + 6
Factor 4x2 – 4x – 3
a2 + (2b)a + b2
a2 + 8a + 16
(
)(
)=(
)2
a2 – (2b)a + b2
a2 – 8a +16
(
)(
)=(
a2 – b 2
9x2 - 25
(
)(
)
)2
A)
4x2 – 24x + 36
B)
64x2 – 16x + 1
a)
What is 25x2 -49?
b)
What is 16x2 – 81?
Explain in your own words how you would
factor x2 + 3x +2. You should explain using
at least three COMPLETE sentences including
punctuation.
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