Question

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.

A 2-column table with 4 rows. The first column has no label with entries Step 1, Step 2, Step 3, Step 4. The second column is labeled x squared + 4 x minus 12 with entries x squared + 6 x minus 2 x minus 12, (x squared + 6 x ) minus (2 x + 12), x(x + 6) minus 2(x + 6), (x + 6)(x + 2).
In which step did Mia make an error?

Step 1
Step 2
Step 3
Step 4

Answer 1

Option d: Mia make an error in Step 4

Explanation:

The polynomial is $x^{2} +4x-12$

Step 1: Mia replaced $6x-2x$ instead of $4x$

Thus, the polynomial becomes,

$x^{2} +6x-2x-12$

Step 2: Grouping the terms, we have,

$(x^{2} +6x)-(2x+12)$

Step 3: Factoring the terms, we have,

$x(x+6)-2(x+6)$

Step 4: Taking out common terms,

$(x+6)(x-2)$

But, Mia made a mistake while taking out of the terms and wrongly written it as $(x+6)(x+2)$

Thus, Mia made a mistake in the 4th step.

Hence, Option d is the correct answer.

Answer 2

Answer:

step 4 on edgenuity 2020

Step-by-step explanation: