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Text p. 599, #73-81 all
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out HW from last night.
HW in your planner.
Text p. 603, #4-40 multiples of 4
your notebook, define a perfect square
in your own words. Then list the squares
of the numbers 1 to 20.
Homework
Text p. 599, #73 – 81 all
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73) a² - 18a + 81
74) k² + 24k + 144
75) 9x² - 12x + 4
76) m² - 16
77) 4c² - 1
78) 25n² - 9
79) 9y² - 48y + 64
80) 4s² - 20st + 25t²
81) x² - 4y²
Chapter 9 “Polynomials and Factoring”
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(9.1) Add and subtract polynomials
(9.2) Multiply polynomials
(9.3) Find special products of polynomials
(9.4) Solve polynomial equations in factored form
(9.5) Factor x² + bx + c
(9.6) Factor ax² + bx + c
(9.7) Factor special products
(9.8) Factor polynomials completely
Objective
 SWBAT
factor special product patterns
Section 9.7 “Factor Special
Products”
 Special
products
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(1) perfect square trinomials
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(2) the difference of two squares
Squares are numbers or variables that have a
whole number or whole variable square root.
x²
25
9
4z²
t²
1
Section 9.7 “Factor Special Products”
You can use the following special products patterns to
help you factor certain polynomials.
Perfect Square Trinomial Pattern (addition)
a² + 2ab + b²
(a + b)²
(a + b)(a + b)
Perfect Square Trinomial Pattern (subtraction)
a² – 2ab + b²
(a – b)²
(a - b)(a - b)
Difference of Two Squares Pattern
a² – b²
(a + b)(a – b)
Perfect Square Trinomial Pattern (addition)
a² + 2ab + b²
(a + b)²
(a + b)(a + b)
Always check for perfect squares FIRST!!
x² + 10x + 25
(x + 5)²
9x² + 12x + 4
(3x + 2)²
2(9x²
18x² +
+ 24x
12x +
+ 84)
2(3x + 2)²
Factor out 2 first, then look for perfect squares.
Perfect Square Trinomial Pattern (subtraction)
a² – 2ab + b²
(a – b)²
(a - b)(a - b)
Always check for perfect squares FIRST!!
x² – 6x + 9
(x – 3)²
36y² – 12y + 1
(6y – 1)²
3x² ––6xy
3(x²
2xy++3y²
y²)
3(x – y)²
Factor out 3 first, then look for perfect squares.
Difference of Two Squares Pattern
a² – b²
(a + b)(a – b)
Always check for perfect squares FIRST!!
x² – 16
(x + 4)(x – 4)
36y² – 81
9(2y + 3)(2y – 3)
49c² – d²
(7c + d)(7c – d)
Skills Review Handbook
NJASK7 Prep
Homework
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Text p. 603, #4-40 multiples of 4