What is the sum of 12x^2+3x+6 and -7x^2-4x-2

Question

asked Mar 7, 2020 102k views

1 Answer

Todd Burner · Answer 1 · 2020-03-12T21:33:28+0000

Answer:
5x^2-x+4

Explanation:

In addition of polynomials, you only have to add the like terms.

Remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

Then, given the polynomial
12x^2+3x+6 and the polynomial
-7x^2-4x-2 , you can find the sum of them by adding the like terms.

Observe the procedure below:

(12x^2+3x+6)+(-7x^2-4x-2)=12x^2+3x+6-7x^2-4x-2=5x^2-x+4

Therefore, the sum is:

5x^2-x+4