Advanced MathHardLinear quotient of a quadratic
Advanced Math practice question
For x ≠ −3, the expression (2x² + 7x + 3)/(x + 3) is equal to ax + b, where a and b are constants. What is the value of a + b?
Answer: 3
2x² + 7x + 3 = (x + 3)(2x + 1), so the quotient is 2x + 1 and a + b = 3.
Common wrong answers
- If you answered 1
- 1 is b alone.
- If you answered 2
- 2 is a alone.
- If you answered 10
- 10 adds the original coefficients 7 and 3.
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