Factoring Trinomials
Presentation
•
Mathematics
•
8th Grade
•
Easy
Standards-aligned
Melissa Stahr
Used 9+ times
FREE Resource
10 Slides • 25 Questions
1
2
3
The coefficient of the second term is the sum of the numbers in each factor.
The third term is the product of the numbers in each factor.
4
When we factor Trinomials, we are actually "undoing" FOIL.
In order to do that we look for the two numbers whose sum is the coefficient of the middle term, and whose product is the last the term.
5
6
Multiple Choice
(x - 12)(x - 3)
(x + 3)(x + 12)
(x + 12)(x - 3)
(x + 3)(x - 12)
7
Multiple Choice
(x + 5)(x + 5)
(x + 25)(x + 1)
(x - 5)(x - 5)
(x + 5)(x - 5)
8
Multiple Choice
(x + 2)(x - 7)
(x - 2)(x - 7)
(x - 2)(x + 7)
(x + 2)(x + 7)
9
Multiple Choice
Factor
x2 -16x + 48
(x - 12)(x - 4)
(x + 6)(x - 8)
(x + 12)(x - 4)
(x -16)(x - 3)
10
Multiple Choice
(x + 6)(x + 2)
(x + 3)(x + 4)
(x - 4)(x - 3)
(x - 2)(x - 6)
11
Multiple Choice
(x + 9)(x - 3)
(x + 3)(x - 9)
(x - 3)(x - 9)
(x + 3)(x + 9)
12
13
Multiple Choice
Factor
x2 - 9 x - 36
(x - 12)(x + 3)
(x + 9)(x - 4)
(x + 12)(x - 3)
(x - 9)(x - 4)
14
Multiple Choice
(x + 6)(x - 5)
(x - 6)(x - 5)
(x + 6)(x + 5)
(x - 6)(x + 5)
15
Multiple Choice
Factor
a2 - a - 12
(a - 4)(a + 3)
(a + 6)(a - 4)
(a - 6)(a + 4)
(a + 4)(a - 3)
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17
Multiple Choice
(x - 6)(x - 3)
(x + 6)(x + 3)
(x - 6)(x + 3)
(x - 3)(x + 6)
18
Multiple Choice
(x - 3)(x + 4)
(x - 2)(x + 6)
(x +3)(x - 4)
(x - 6 )(x + 2)
19
Multiple Choice
(x - 3)(x + 1)
(x + 3)(x + 1)
(x + 3)(x - 1)
(x - 3)(x - 1)
20
Multiple Choice
n2 + 16n + 63
(n-7)(n+4)
(n+7)(n-9)
(n-3)(n-10)
(n+7)(n+9)
21
Multiple Choice
k2 - 2k - 24
(k+4)(k-6)
(k+4)(k+6)
(k+6)(k-1)
(k-4)(k+6)
22
Multiple Choice
x2 + 0x - 144
(x + 12)2
(x - 12)(x + 12)
(x - 12)2
122
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Steps to factor trinomials in standard form
List the factor pairs of c
ax2+Bx+c
Determine which factor pair of c has a sum of b
Use the m and p to write the factored form:
(x+M)(x+p)
FOIL TO CHECK YOUR ANSWER
Examples:
x2+7x+12
x2+4x-12
24
practice with a partner
Complete the first 2 rows of equations on your worksheet by yourself with your partner. Don't forget to FOIL to check your answer.
10 minutes
25
Open Ended
Factor the trinomial: x2-9x-22
26
Open Ended
Factor the trinomial: x2-2x-15
27
Multiple Choice
3x2 + 18x +15
Hint: Factor GCF first.
3(x2 + 6x + 5)
(x + 5)(x + 1)
3(x + 5)(x + 1)
Prime
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29
Multiple Choice
Of the following Quadratic...what are the a, b, & c values of the given function?
4x2−8x=3
a = 4
b = 8
c = 3
a = 4
b = -8
c = -3
a = 4
b = -8
c = 3
a = 4
b = 8
c = -3
30
Multiple Choice
16
8
-8
-24
31
Multiple Choice
3a2 + 4a + 1
(7a-10)(a-8)
Not factorable
(3a+1)(a+1)
(3a-1)(a-1)
32
Multiple Choice
3a2 + 4a + 1
(7a-10)(a-8)
Not factorable
(3a+1)(a+1)
(3a-1)(a-1)
33
Multiple Choice
2n2 + 13n + 15
(5n - 9)(n - 3)
(3n + 7)(n + 4)
(2n + 3)(n + 5)
Not factorable
34
Multiple Choice
3v2 - 4v - 7
(3v-7)(v+1)
3(v-7)(v-1)
(3v+1)(v-9)
(3v+1)(v-10)
35
Multiple Choice
3v2 - 4v - 7
(3v-7)(v+1)
3(v-7)(v-1)
(3v+1)(v-9)
(3v+1)(v-10)
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