Advanced MathHardConstant after cancelling a squared factor
Advanced Math practice question
For x > 5, the expression (x² − 10x + 25)/(x − 5) is equal to x − k, where k is a constant. What is the value of k?
Answer: 5
x² − 10x + 25 = (x − 5)², so dividing by x − 5 leaves x − 5.
Common wrong answers
- If you answered 10
- 10 copies the coefficient of x.
- If you answered 25
- 25 copies the constant term.
- If you answered -5
- −5 has the sign wrong.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.