Question

Find the sum of (x3 + 12x2 – 5x + 4) + (2x3 – 5x2 – 14).

Answer 1

3x^3 + 7x^2 - 5x - 10

Explanation:

In order to find the sum, we need to add all of the like terms together between the two polynomials.

`(x^3+12x^2-5x+4)+(2x^3-5x^2-14)`

Lets begin with x^3 terms. There is a 1 in front of the x, so 2 + 1 = 3

`3x^3`

Now x^2 terms. 12 - 5 = 7

`3x^3+7x^2`

We can keep x terms the same since there is no x terms in the second polynomial.

`3x^3+7x^2-5x`

Finally integers. -14 + 4 = -10

`3x^3+7x^2-5x-10`