Quadratic Factored Form Math Example 3

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Example 3

easy

Find the zeros of

h(x) = -3(x + 2)(x - 5)

Solution

1
Set each factor to zero: $x + 2 = 0 \Rightarrow x = -2$ ; $x - 5 = 0 \Rightarrow x = 5$ .
2
Zeros: $x = -2$ and $x = 5$ .

Answer

x = -2, \; x = 5

The leading coefficient

-3

affects the graph's shape but not the location of the zeros.

About Quadratic Factored Form

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.

Learn more about Quadratic Factored Form →

More Quadratic Factored Form Examples

Example 1 easy

What are the zeros of [formula]?

Example 2 medium

Write a quadratic in factored form with zeros at [formula] and [formula] and passing through [formul

Example 4 medium

Find the axis of symmetry of [formula].

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Quadratic Functions Factoring Zeros of a Quadratic