16Hit1600
Advanced MathVery hardQuotient of a trinomial by a binomial

Advanced Math practice question

For x > 1, the expression (2x² + 3x − 2)/(2x − 1) is equivalent to x + k, where k is a constant. What is the value of k?

Answer: 2

2x² + 3x − 2 = (2x − 1)(x + 2), so the quotient is x + 2.

Common wrong answers

If you answered 1
1 uses (2x − 1)(x + 1), which gives 2x² + x − 1.
If you answered 3
3 copies the coefficient of x.
If you answered -2
−2 copies the constant of the numerator.

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