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

Studdy Solution

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

Studdy Solution

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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Question Determine if x=3x=3x=3 is a zero of the quadratic expression 4x2−8x−124x^2 - 8x - 124x2−8x−12. Justify your answer.

Studdy Solution

STEP 1

Assumptions1. The given expression is 4x−8x−124x^ -8x -124x−8x−12 . We need to check if x=3x =3x=3 is a zero of the given expression

STEP 2

To check if x=x =x= is a zero of the given expression, we substitute x=x =x= into the expression and see if the result is zero.4()2−8()−124()^2 -8() -124()2−8()−12

STEP 3

First, we calculate the square of3 and multiply it by.(3)2=(9)=36(3)^2 =(9) =36(3)2=(9)=36So, the expression becomes36−8(3)−1236 -8(3) -1236−8(3)−12

STEP 4

Next, we multiply8 by3.8(3)=248(3) =248(3)=24So, the expression becomes36−24−1236 -24 -1236−24−12

STEP 5

Finally, we perform the subtraction operations.36−24−12=036 -24 -12 =036−24−12=0Since the result is zero, x=3x =3x=3 is a zero of the given expression.

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

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

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

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

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

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