16Hit 1600
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?

  1. A. 2x + 5Correct
  2. B. 2x − 5
  3. C. 3x + 5
  4. 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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