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

step 4 on edgenuity 2020

Step-by-step explanation:

Answer 2

Option d: Mia make an error in Step 4

Step-by-step 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.