Advanced MathMediumFactoring by grouping with a shared binomial
Advanced Math practice question
Which expression is equivalent to 5x(x + 2) − 3(x + 2)?
- A. (5x − 3)(x + 2)Correct
- B. (5x + 3)(x − 2)
- C. 2x(x + 2)
- D. (5x − 3)(x − 2)
Answer: A. (5x − 3)(x + 2)
Both terms share (x + 2): (x + 2)(5x − 3).
Why the other answers are wrong
- B. (5x + 3)(x − 2)
- (5x + 3)(x − 2) has both signs wrong; check x = 1: 8 ≠ 6.
- C. 2x(x + 2)
- 2x(x + 2) subtracts 5x − 3 as if both were multiplied by x.
- D. (5x − 3)(x − 2)
- (x − 2) is the wrong sign.
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What are the solutions to x² + 6x + 8 = 0?
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