Practice Zeros of a Quadratic in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The zeros (or roots) of a quadratic function f(x) = ax^2 + bx + c are the values of x where f(x) = 0. Graphically, they are the x-intercepts of the parabola.
The zeros are where the parabola crosses or touches the x-axis. A parabola can cross twice (two zeros), just touch once (one repeated zero), or miss entirely (no real zeros). You can find them by factoring, completing the square, or using the quadratic formula.
Example 1
easyFind the zeros of f(x) = x^2 - 7x + 10.
Example 2
mediumFind the zeros of g(x) = 2x^2 - 8x.
Example 3
easyFind the zeros of h(x) = x^2 - 1.
Example 4
hardHow many zeros does f(x) = x^2 + 4 have over the reals?