Advanced MathHardQuotient of a quadratic by its factor
Advanced Math practice question
The polynomial 6x² + 7x − 20 is divisible by 3x − 4. Which expression is the quotient?
- A. 2x + 5Correct
- B. 2x − 5
- C. 3x + 5
- D. 2x + 4
Answer: A. 2x + 5
(3x − 4)(2x + 5) = 6x² + 15x − 8x − 20 = 6x² + 7x − 20.
Why the other answers are wrong
- B. 2x − 5
- (3x − 4)(2x − 5) gives −23x as the middle term, not +7x.
- C. 3x + 5
- (3x − 4)(3x + 5) starts with 9x², not 6x².
- D. 2x + 4
- (3x − 4)(2x + 4) ends in −16, not −20.
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