135k views
3 votes
Simplify the expression. What classification describes the resulting polynomial?

2(3x2 − x − 7) + (-6x2 − 4x − 2)

User Ashanbrown
by
8.0k points

1 Answer

3 votes

Final answer:

To simplify the expression, distribute the 2 to the terms inside the parentheses and then combine like terms. The resulting polynomial is -6x - 16, which is a linear polynomial.

Step-by-step explanation:

To simplify the expression 2(3x2 - x - 7) + (-6x2 - 4x - 2), we need to distribute the 2 to the terms inside the parentheses, and then combine like terms.

2(3x2) + 2(-x) + 2(-7) + (-6x2) + (-4x) + (-2)

6x2 - 2x - 14 - 6x2 - 4x - 2 = -6x - 16

The resulting polynomial is -6x - 16, which is a linear polynomial.

User Ivarg
by
8.0k points