Question

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. 3x 2 + 2x - 5 and -4 + 7x 2

a. -x2 + 9x - 9
b. 21x2 + 2x + 20
c. 10x2 - 5x - 1
d. 10x2 + 2x - 9

Answer 1

3x^2
+ 2x - 5
- 4 + 7x^2
—————
/combine like terms (3x2 + 7x2, -5 and -4, and 2x is alone so we leave it as it is)
—————
10x^2 + 2x - 9

Answer 2

Option d -
`10x^2+2x-9`

Explanation:

Given : Polynomials
`3x^2+2x-5` and
`-4+7x^2`

To find : The sum of the polynomials?

Solution :

Step 1 - Write the polynomials

`3x^2+2x-5` and
`-4+7x^2`

Step 2 - Add both polynomials

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

Step 3 - Open the parenthesis

`=3x^2+2x-5-4+7x^2`

Step 4 - Add the like terms

`=10x^2+2x-9`

Therefore, Option d is correct.