Question

What is the sum of the given polynomials in standard form? (x^2 – 3x) + (–2x^2 + 5x – 3)

Answer 1

x^2 - 3x - 2x^2 + 5x - 3 = -x^2 + 2x -3

Answer 2

`-x^(2) + 2x - 3`

Explanation:

(x^2 – 3x) + (–2x^2 + 5x – 3)

To get the sum of these two polynomials, remove the brackets and arrange the like terms together:

x^2 - 3x - 2x^2 + 5x - 3

x^2 - 2x^2 + 5x - 3x - 3

Now sum up the like terms to get:

-x^2 + 2x - 3

If you do not want to write x^2 in negative form, you can take '-' as a common, change the signs inside the brackets accordingly and instead write it as:

- (x^2 - 2x + 3)