Zeros of a Quadratic Math Example 3

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Example 3

easy
Find the zeros of h(x)=x2−1h(x) = x^2 - 1.

Solution

  1. 1
    Difference of squares: (x+1)(x−1)=0(x+1)(x-1) = 0.
  2. 2
    Zeros: x=−1x = -1 and x=1x = 1.

Answer

x=−1,  x=1x = -1, \; x = 1
Recognizing the difference of squares pattern makes finding the zeros immediate.

About Zeros of a Quadratic

The zeros (or roots) of a quadratic function f(x)=ax2+bx+cf(x) = ax^2 + bx + c are the values of xx where f(x)=0f(x) = 0. Graphically, they are the xx-intercepts of the parabola.

Learn more about Zeros of a Quadratic →

More Zeros of a Quadratic Examples

Example 1 easy

Find the zeros of [formula].

Example 2 medium

Find the zeros of [formula].

Example 4 hard

How many zeros does [formula] have over the reals?

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