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 are the values of where . Graphically, they are the -intercepts of the parabola.
The zeros are where the parabola crosses or touches the -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.
Showing a random 20 of 50 problems.
Example 1
hardFind the zeros of by completing the square.
Example 2
easyHow many real zeros does have?
Example 3
mediumFind the zeros of .
Example 4
challengeA quadratic has zeros and . Find and .
Example 5
easyFind the zeros of .
Example 6
hardIf a quadratic with leading coefficient has zeros and , write it in standard form.
Example 7
challengeIf has zeros and with and , find and .
Example 8
mediumFind the sum and product of the zeros of .
Example 9
easyHow many real zeros does have?
Example 10
easyFind the zeros of .
Example 11
easyFind the zeros of .
Example 12
easyFind the zeros of .
Example 13
easyFind the zeros of .
Example 14
easyIs a zero of ?
Example 15
mediumIf is a zero of , find .
Example 16
mediumIf is a zero of , find .
Example 17
mediumFind the zeros of .
Example 18
mediumFind the zeros of .
Example 19
mediumFind the zeros of by factoring.
Example 20
mediumFind the zeros of by factoring.