Question

Using the polynomials Q = 3x 2 + 5x - 2, R = 2 - x 2, and S = 2x + 5, perform the indicated operation: Q - [R + S]

Answer 1

(3x^2+5x-2)- ((2-x^2+2x+5))
(3x^2+5x-2)- ((7-x^2+2x))
Since no more can be added or broken down
3x^2+5x-2 - 7-x^2+2x
2x^2+7x-9

Answer 2

`4x^2+3x-9`

Explanation:

Given the polynomials:

`Q = 3x^2+5x-2`

`R = 2-x^2`

`S = 2x+5`

We have to perform the indicated operation Q - [R + S]

`Q - [R + S] = 3x^2+5x-2-[2-x^2+2x+5]`

⇒
`Q - [R + S] = 3x^2+5x-2-2+x^2-2x-5`

Combine like terms;

⇒
`Q - [R + S] = 4x^2+3x-9`

Therefore, Q - [R + S] is,
`4x^2+3x-9`