Bowman Hardy
07/25/2023 · Senior High School
21. Factorize: \( 2 x^{2}-7 x-39 \) a \( (9 x-13)(x+3) \) b \( (2 x-13)(x+5) \) c \( (2 x-22)(x+3) \) d \( (2 x-13)(x+3) \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Factor the expression \( 2x^2-7x-39 \).
Factor the expression by following steps:
- step0: Factor:
\(2x^{2}-7x-39\)
- step1: Rewrite the expression:
\(2x^{2}-13x+6x-39\)
- step2: Factor the expression:
\(x\left(2x-13\right)+3\left(2x-13\right)\)
- step3: Factor the expression:
\(\left(x+3\right)\left(2x-13\right)\)
The factorization of \(2x^{2}-7x-39\) is \((x+3)(2x-13)\).
Therefore, the correct option is d) \((2x-13)(x+3)\).
Quick Answer
The correct option is d) \((2x-13)(x+3)\).
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