16Hit1600
Advanced MathMediumValue after simplifying a rational expression

Advanced Math practice question

For x ≠ −5, the expression (x² + 7x + 10)/(x + 5) simplifies to x + k. What is the value of k?

Answer: 2

x² + 7x + 10 = (x + 2)(x + 5), and dividing by (x + 5) leaves x + 2. So k = 2.

Common wrong answers

If you answered 5
5 is the cancelled factor's constant.
If you answered 7
7 is the middle coefficient.
If you answered 10
10 is the original constant.

More Advanced Math questions

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