16Hit1600
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.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.