Page 151 - MarceAlgebra Demystified
P. 151
138 CHAPTER 6 Factoring
Examples
2
x þ x 12
Factors to check: ðx þ 1Þðx 12Þ, ðx 1Þðx þ 12Þ, ðx þ 2Þðx 6Þ,
ðx 2Þðx þ 6Þ, ðx 4Þðx þ 3Þ, and ðx þ 4Þðx 3Þ:
2
ðx þ 1Þðx 12Þ¼ x 11x 12
2
ðx 1Þðx þ 12Þ¼ x þ 11x 12
2
ðx þ 2Þðx 6Þ¼ x 4x 12
2
ðx 2Þðx þ 6Þ¼ x þ 4x 12
2
ðx 4Þðx þ 3Þ¼ x x 12
2
ðx þ 4Þðx 3Þ¼ x þ x 12 (This works.)
Examples
2
x 2x 15
Factors to check: ðx þ 15Þðx 1Þ, ðx 15Þðx þ 1Þ, ðx þ 5Þðx 3Þ; and
ðx 5Þðx þ 3Þ (works).
2
x 11x þ 18
Factors to check: ðx 1Þðx 18Þ, ðx 3Þðx 6Þ, and ðx 2Þðx 9Þ
(works).
2
x þ 8x þ 7
Factors to check: ðx þ 1Þðx þ 7Þ (works).
Practice
Factor the quadratic polynomial.
2
1: x 5x 6 ¼
2
2: x þ 2x þ 1 ¼
