Mia is factoring the polynomial x2 4x – 12. she uses the steps shown. in which step did mia make an error?

Mia made mistake in the last step is factoring the polynomial .

Given that,

Polynomial =

We have to find,

Mia is factoring the polynomial. she uses the steps did Mia make error.

According to the question,

First, evaluate the given polynomial .

We can check the error if performed complete factoring solution.

Compare the result to Mia's answer.

We need to replace 4x with 6x - 2x and,

The polynomial will become

Proceed with grouping of terms such as () -(2x+12).

Then,

Factor common value for each group such as the result become an X (x+6) -2 (x+6).

For the second time

Proceed with grouping of terms such as the result become (x+6) (x-2).

We can conclude that Mia is incorrect in the last step.

Hence, Mia made mistake in the last step is factoring the polynomial .

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