Question

2. Use addition and subtraction to simplify the following polynomials.

A. Add polynomials: (3 - 4x + 8x2) + (-6 + 2x - 5x2)
Step 1: Rewrite the polynomials without the parentheses. (1 point)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1
point)

Answer 1

`-3 - 2x + 3x^2`

Explanation:

The question looks incomplete; However, it can be answered based on the available data

Given

`(3 - 4x + 8x^2) + (-6 + 2x - 5x^2)`

Required

Add

Step 1: Rewrite without bracket

`3 - 4x + 8x^2 - 6 + 2x - 5x^2`

Step 2: Arrange in descending order

`3 - 6 - 4x + 2x + 8x^2 - 5x^2`

Step 3: Perform Arithmetic Operations

`-3 - 2x + 3x^2`

The expression cannot be simplified any further;

Hence, the addition of
`(3 - 4x + 8x^2) + (-6 + 2x - 5x^2)` is equivalent to
`-3 - 2x + 3x^2`