Question

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

Answer 1

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`