8
QuizMultiple Choice

Factoring Trinomials: a > 1 — Quiz

Question 8 • Algebra I

Which expression is a factor of 12 x squared plus 29 x negative 8 ?

Answer
A
2 x negative 1
B
3 x plus 8
C
x negative 8
D
4 x plus 1

Explanation

Factor 12x² + 29x − 8 by splitting the middle term: 29x = 32x − 3x. Then 12x² + 32x − 3x − 8 = 4x(3x + 8) − 1(3x + 8) = (4x − 1)(3x + 8). Therefore, 3x + 8 is a factor.

AI-written and checked against the verified answer.

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