
Lesson 5; Factoring using special products
Presentation
•
Mathematics
•
8th Grade
•
Easy
William Katumba
Used 8+ times
FREE Resource
2 Slides • 33 Questions
1
Lesson 5 (Intro activity)
Factoring using special products.
Do you remember the special products?
1. (a+b)² = a² + 2ab + b²
2. (a-b)² = a² - 2ab + b²
3. a²-b² = (a-b)(a+b) {a.k.a difference of squares}
2
Multiple Choice
Expand (a+b)2
a2+b2
a2+4ab+b2
a2+2ab+b2
2a2+4ab+2b2
3
Multiple Choice
Expand (a−b)2
a2-b2
a2-4ab+b2
a2-2ab+b2
2a2-4ab+2b2
4
Multiple Choice
Expand (a-b)(a+b)
a2-b2
a2+2ab+b2
a2+b2
5
Multiple Choice
Which of these is the expansion of (x+1)²
6
Multiple Choice
Which of these is the expansion of (x-1)²
x² - 2x + 1
7
Multiple Choice
Which of these is the expansion of (x+1)(x-1)
x² - 1
x² + 1
2x² + 1
x² + 2
8
Multiple Choice
Which of these is the expansion of (x+2)²
9
Multiple Choice
Which of these is the expansion of (x-2)(x+2)
x² - 4
x² + 4
2x² - 4
2x² + 4
10
Multiple Choice
Which of these is the expansion of (x-2)(x+2)
x² - 4
x² + 4
2x² - 4
2x² + 4
11
Match
Match these special products with their correct expansions
(x+5)²
(x-7)²
(2x+1)²
(2x-3)²
(x+9)²
x²+10x+25
x²-14x+49
4x²+4x+1
4x²-12x+9
x²+18x+81
x²+10x+25
x²-14x+49
4x²+4x+1
4x²-12x+9
x²+18x+81
12
Dropdown
(x+1)² = x² + 2x +
(x+2)² = x² +
(x+3)² = x² + 6x +
(x-1)² = x²
(x-2)² = x² - 4x
13
Drag and Drop
x² + 12x +
(x-3)(x+
x² + 8x +
x² +
x² + 24x +
14
Match
Match the following expansions to their missing terms;
x²+ ___ + 64
x² + ___ + 36
x² - ___ + 49
4x²+ ___ + 25
9x² + ___ + 4
16x
12x
14x
20x
12x
16x
12x
14x
20x
12x
15
Factorizing using special products
We have seen how to expand using special products.
Example; (x+2)² = x²+4x+4
We can also reverse the process and factorize using special products.
Example; If we are given the expansion x²+4x+4
We can factorize it into (x+2)² {Kinda like the opposite}
Note; This only works for special products a.k.a perfect square trinomials.
Let's do some practice!
16
Multiple Choice
Is this an expansion of a special product?
x2 + 16x + 64
17
Multiple Choice
x2 + 16x + 64
18
Multiple Choice
Which of these is a perfect square trinomial?
x² + 4x + 14
x² + 2x + 1
x² + 3x + 2
x² + 5x + 6
19
Multiple Choice
Which if these is NOT a perfect square trinomial?
x² + 6x + 9
x² + 8x + 16
x² + 10x + 25
x² + 7x + 10
20
Multiple Choice
Factor the polynomial
k2+14k+49
(k+7)2
(k−7)2
(k+7)(k−7)
(k+2)(k+7)
21
Multiple Choice
Factor the polynomial
m2−18m+81
(m+9)2
(m−9)2
(m+9)(m−9)
(m−1)(m−18)
22
Multiple Choice
Factor.
x2 + 24x + 144
(x + 12)2
(x - 12)2
(x + 15)2
(x + 13)2
23
Multiple Choice
Factor.
x2 - 30x + 225
(x + 15)2
(x - 15)2
(x + 25)2
(x - 25)2
24
Multiple Choice
Factorize
x2 + 24x + 144
(x + 12)²
(x - 12)²
25
Multiple Choice
Factorize;
x2 - 30x + 225
(x - 15)²
(x + 15)²
26
Multiple Choice
27
Multiple Choice
28
Multiple Choice
29
Multiple Choice
30
Multiple Choice
31
Multiple Choice
32
Multiple Choice
Factor
x2 + 18x + 81
(x + 9)(x – 9)
(x + 9)2
(x + 6)2
33
Multiple Choice
Factorize;
x2 - 20x + 100
34
Multiple Choice
35
Multiple Choice
n2 + 10n + 25
Lesson 5 (Intro activity)
Factoring using special products.
Do you remember the special products?
1. (a+b)² = a² + 2ab + b²
2. (a-b)² = a² - 2ab + b²
3. a²-b² = (a-b)(a+b) {a.k.a difference of squares}
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