Question

1.

Carolanne was adding the two polynomials shown below.

(3x2 – 4x – 1) + (8x2 – x + 6)

Which of the following best describes her answer in simplest form?
11x2
11x2 – 5x + 5
68x2 + 5
6x2 + 5

Answer 1

`11x^2 - 5x + 5` (Option 2)

Explanation:

Equation:

`(3x^2 - 4x -1) +(8x^2 - x + 6)`

We can drop the parenthesis since there is nothing to distribute

`3x^2 - 4x -1 +8x^2 - x + 6`

Combine like terms

`3x^2 + 8x^2 -4x -x -1 +6\\\\11x^2 - 5x + 5`