Practice Quadratic Factored Form in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The factored form of a quadratic function is f(x) = a(x - r_1)(x - r_2), where r_1 and r_2 are the zeros (roots) of the function and a is the leading coefficient.
Each factor (x - r) equals zero when x = r. So the factored form literally shows you where the parabola crosses the x-axis—plug in either root and the whole expression becomes zero.
Example 1
easyWhat are the zeros of f(x) = (x - 1)(x + 4)?
Example 2
mediumWrite a quadratic in factored form with zeros at x = 3 and x = -2 and passing through (0, -12).
Example 3
easyFind the zeros of h(x) = -3(x + 2)(x - 5).
Example 4
mediumFind the axis of symmetry of f(x) = (x - 1)(x - 7).