Add the polynomials:
[tex](-4x^2-3x+6)+(6x^2-2x+1)[/tex]
Removing the parentheses:
[tex]-4x^2-3x+6+6x^2-2x+1[/tex]
Collecting like terms:
[tex]2x^2-5x+7[/tex]
Find the opposite of:
[tex]2x^2+x-7[/tex]
We change the signs of all terms:
[tex]-2x^2-x+7[/tex]
Subtract:
[tex](-4x^2+2x-1)-(-2x^2+3x+6)[/tex]
Remove the parentheses, but the last one requires changing the signs of the second polynomial (find the opposite):
[tex]-4x^2+2x-1+2x^2-3x-6[/tex]
Collecting like terms:
[tex]-2x^2-x-7[/tex]
