Answer: [tex]5x^2-x+4[/tex]
Step-by-step explanation:
In addition of polynomials, you only have to add the like terms.
Remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Then, given the polynomial [tex]12x^2+3x+6[/tex] and the polynomial [tex]-7x^2-4x-2[/tex], you can find the sum of them by adding the like terms.
Observe the procedure below:
[tex](12x^2+3x+6)+(-7x^2-4x-2)=12x^2+3x+6-7x^2-4x-2=5x^2-x+4[/tex]
Therefore, the sum is:
[tex]5x^2-x+4[/tex]
