Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 12, 2023

Determine if $x=3$ is a zero of the quadratic expression $4x^2 - 8x - 12$ . Justify your answer.

STEP 1

Assumptions1. The given expression is $4x^ -8x -12$ . We need to check if $x =3$ is a zero of the given expression

STEP 2

To check if $x =$ is a zero of the given expression, we substitute $x =$ into the expression and see if the result is zero.
$4()^2 -8() -12$

STEP 3

First, we calculate the square of3 and multiply it by.
$(3)^2 =(9) =36$ So, the expression becomes $36 -8(3) -12$

STEP 4

Next, we multiply8 by3.
$8(3) =24$ So, the expression becomes $36 -24 -12$

STEP 5

Finally, we perform the subtraction operations.
$36 -24 -12 =0$ Since the result is zero, $x =3$ is a zero of the given expression.

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