Download Trinomials when signs are the same

Gautier/Tang
Algebra I: Ch. 5 Part 3
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Date ___________
TYPES OF FACTORING PROBLEMS
1. Common Monomial Factor
Ex 1:
5x + 35
 5(x + 7)
- factor out what’s in common in both terms (5)
- write what you factored outside the parentheses
Ex 2:
26uv-39v
 13v(2u-3)
- factor out what’s in common in both terms (13v)
- write what you factored outside the parentheses
4 x 5 6 x3  14 x
Ex 3:
 2x( 2 x 4  3 x 2  7 )
- factor out what’s in common in both terms (2x)
- write what you factored outside the parentheses
2. Difference of Two Squares
3. Perfect Square Trinomial
4. Trinomials (Signs are the same)
Sec. 5-7 Factoring Pattern for x 2 + bx + c (positive)
(Trinomials when signs are the same)
Examples:
1. Factor x 2 + 8x + 15
- For the first term, put an x in the parentheses.
- For the second term, find two numbers that multiply to equal 15 and
add to equal 8.
5  3 = 15
5+3= 8
(x + 3)(x + 5)
- Answer
Gautier/Tang
Algebra I: Ch. 5 Part 3
2. Factor y 2 - 11y + 18
- For the first term, put a y in the parentheses.
- For the second term, find 2 number that multiply to equal 18 and add
to equal –11.
-2  -9 = 18
-2 + -9 = -11
(y – 2)(y – 9)
- Answer
Practice Problems
Directions- Factor
1. x 2 +8x + 7
2. p 2 - 5p + 6
3. u 2 + 11u + 18
4. r 2 + 9r + 20
5. n 2 - 17n + 30
6. q 2 + 16q + 15
Gautier/Tang
Algebra I: Ch. 5 Part 3
7. x 2 - 22x + 72
8. z 2 + 16z + 39
9. x 2 - 22x + 72
10. y 2 + ky + 14
11. n 2 + kn + 9
12. r 2 + kr + 20
13. p 2 + kp + 18
14. c 2 - 10c + 16
15. n 2 + 10n + 21