16Hit1600
Advanced MathVery hardSimplifying a rational expression to a linear one

Advanced Math practice question

If (x² + 5x + 6)/(x + 2) = x + c for all x ≠ −2, where c is a constant, what is the value of c?

Answer: 3

x² + 5x + 6 = (x + 2)(x + 3), so the quotient is x + 3 and c = 3.

Common wrong answers

If you answered 2
2 is the factor that cancels.
If you answered 5
5 is the coefficient of x in the numerator.
If you answered 6
6 is the constant term of the numerator.

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