AnswersAlgebra 2 with ProbabilityPractice TestQuestion 11
11
practice testMultiple Choice

Practice Test

Question 11 • Algebra 2 with Probability

What is the completely factored form of 12 x y minus 9 x minus 8 y plus 6 ?

Answer
A
negative 6 x open paren 4 y minus 3 close paren open paren 4 y minus 3 close paren
B
open paren 3 x minus 2 close paren times open paren 4 y minus 3 close paren
C
3 x open paren 4 y minus 3 close paren minus 2 times open paren 4 y plus 3 close paren
D
open paren 3 x minus 2 close paren times open paren 4 y minus 3 close paren times open paren 4 y minus 3 close paren

Explanation

Factor by grouping: 12xy − 9x − 8y + 6 = (12xy − 9x) + (−8y + 6). Factoring each group gives 3x(4y − 3) − 2(4y − 3), so the common factor is (4y − 3). The result is (3x − 2)(4y − 3), which is choice A.

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