Question

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

Answer 1

Answer: $5x^2-x+4$

 

Step-by-step 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:

$5x^2-x+4$