40
QuizMultiple Choice

N/A — Exam

Question 40 • Algebra I

What is the factored form of 4 x squared plus 23 x negative 72 ?

Answer
A
4 x plus 8 times x negative 9
B
4 x minus 8 times x plus 9
C
4 x negative 9 times x plus 8
D
4 x plus 9 times x negative 8

Explanation

To factor 4x² + 23x − 72, find factors that give a constant product of 4 · (−72) = −288 and a sum of 23. The numbers 32 and −9 work, so split the middle term: 4x² + 32x − 9x − 72 = (4x − 9)(x + 8). This is choice C.

AI-written and checked against the verified answer.

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