Advanced MathEasy–MediumSmaller zero of a quadratic
Advanced Math practice question
The function f(x) = x² − 6x + 8 has two zeros. What is the smaller of the two?
Answer: 2
x² − 6x + 8 = (x − 2)(x − 4), so the zeros are 2 and 4; the smaller is 2.
Common wrong answers
- If you answered 4
- 4 is the larger zero.
- If you answered 8
- 8 is the constant term, the product of the zeros.
- If you answered -2
- The factors are (x − 2)(x − 4); both zeros are positive.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.