Question

How do I match these polynomial and what are the correct matches?!

Answer 1

Add the polynomials:

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

Removing the parentheses:

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

Collecting like terms:

`2x^2-5x+7`

Find the opposite of:

`2x^2+x-7`

We change the signs of all terms:

`-2x^2-x+7`

Subtract:

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

Remove the parentheses, but the last one requires changing the signs of the second polynomial (find the opposite):

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

Collecting like terms:

`-2x^2-x-7`