Lesson: Factoring Special Cases
Presentation
•
Mathematics
•
9th Grade
•
Medium
+3
Standards-aligned
Christopher Gassler
Used 10+ times
FREE Resource
6 Slides • 9 Questions
1
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2
Factoring Special Cases
Objective: Factor special case quadratics
3
Match
Match the following binomials with their products.
(x + 6)(x - 6)
(x + 6)2
(x - 6)2
(x + 9)(x - 4)
(x - 9)(x + 4)
x2 - 36
x2 + 12x + 36
x2 - 12x + 36
x2 + 5x - 36
x2 - 5x - 36
x2 - 36
x2 + 12x + 36
x2 - 12x + 36
x2 + 5x - 36
x2 - 5x - 36
4
PAST EXAMPLES
(x + 6)2 = (x + 6)(x + 6) = x2 + 6x + 6x + 36
(x + 6)(x - 6) = x2 - 6x + 6x - 36
= x2 + 12x + 36
= x2 - 36
5
REVIEW Square Roots
12 (means 1×1) = 1
22 (means 2×2) = 4
32 (means 3×3) = 9
42 (means 4×4) = 16
52 (means 5×5) = 25
Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...
6
EXAMPLES PERFECT SQUARES
Factor: x2 - 10x + 25
Factor: x2 + 3x + 9
Questions to Ask
1) Are the 1st and 3rd term perfect squares?
2) If YES, multiply them and double it. Is that the middle term?
7
Math Response
Factor: x2 + 12x + 36
8
Multiple Select
Which of the following polynomials is prime?
x2 - 14x + 49
x2 + 4x + 16
9
EXAMPLES PERFECT SQUARES
Factor: 4x2 + 12x + 9
Factor: 36x2 - 48x + 16
Questions to Ask
1) Are the 1st and 3rd term perfect squares?
2) If YES, multiply them and double it. Is that the middle term?
10
Math Response
Factor: 25x2 - 10x + 1
11
DIFFERENCE OF SQUARES
Factor: x2 - 81
Factor: 64x2 - 49
Factor: x2 + 9
12
Math Response
Factor: x2 - 121
13
Math Response
Factor: 49x2 - 81
14
Match
Match the following quadratic with its factored form.
x2 - 81
x2 + 81
x2 - 9
x2 - 6x + 9
(x + 9)(x - 9)
Prime
(x + 3)(x - 3)
(x - 3)(x - 3)
(x + 9)(x - 9)
Prime
(x + 3)(x - 3)
(x - 3)(x - 3)
15
Fill in the Blanks
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