Question

A zero of an expression is a value of the input variable that results in the expression having a value of zero
(catchy and appropriate name). Is x = 3 a zero of the quadratic expression shown below? Justify your
yes/no answer.
4x? - 8x-12

Answer 1

The zero of an expression is when the expression results to 0, for an input value.

$x = 3$ is a zero of $4x^2 - 8x - 12$

Given that:

$f(x) = 4x^2 - 8x - 12$

$x = 3$

Substitute 3 for x

$f(3) = 4 \times 3^2 - 8 \times 3 - 12$

Simplify

$f(3) = 36 - 24 - 12$

$f(3) = 0$

When 3 is substituted for x, the quadratic expression $4x^2 - 8x - 12$ have a value of 0

Hence, $x = 3$ is a zero of the quadratic expression.

Read more about zero of expressions at:

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