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Factor 2x2 - 11x - 21.

A) (2x + 3)(x - 7)
Eliminate
B) (x + 3)(2x - 7)
C) (2x - 3)(x + 7)
D) (2x + 7)(x - 3)

User Guy Passy
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1 Answer

3 votes
The first step for factoring this expression is to write -11x as a difference.
2x² + 3x - 14x - 21
Factor out x from 2x² + 3x.
x × (2x + 3) - 14x - 21
Now factor out -7 from -7(2x + 3)
x × (2x + 3) - 7(2x + 3)
Finally,, factor out 2x + 3 from the expression.
(2x + 3) × (x - 7)
This means the correct answer to your question is (2x + 3) × (x - 7),, or option A.
Let me know if you have any further questions.
:)
User Will Chu
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