Question

Which of the following represents the sum of the polynomials below?

(6x³ +2ײ +9x)+(-2x³ +5x² +3x)
OA. 4x³ +7x² +12x
OB. 4x³ +7x² +12
OC. 8x³ +7x² +12x
OD. 4x³ +7x² +6x

Answer 1

A

Explanation:

First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)

`6x^3+(-2x^3)+2x^2+5x^2+9x+3x`

Combine like terms:

(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)

`6x^3+(-2x^3)= > 6x^3-2x^3=4x^3`

`2x^2+5x^2=7x^2`

`9x+3x=12x`

So, we get
`4x^3+7x^2+12x`