The zeros of a quadratic function can be found by which of the following methods?
A) Factoring
B) Quadratic formula
C) Completing the square
D) All of the answer choices are correct.

Question

Quizplus · Accepted Answer

All of the methods listed in the answer choices can be used to find the zeros of a quadratic function. Factoring is possible when the quadratic can be factored easily, for example, $x^2 + 3x + 2$ can be factored into $(x+1)(x+2)$, which gives the zeros $-1$ and $-2$. However, not all quadratics can be factored easily, so the quadratic formula can be used instead. The quadratic formula states that for a quadratic in the form $ax^2 + bx + c$, the zeros are given by $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. Completing the square is another method, but it is less commonly used than factoring and the quadratic formula.

The Zeros of a Quadratic Function Can Be Found by Which