Question

Given the term 3x², select ALL of the like terms listed below. Question 3 options: A.-2x²

B. 3x

C.3x³

D.5x²

E.x²

Answer 1

A.-
`2x^2`

D.
`5x^2`

E.
`x^2`

Explanation:

Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is
`3x^2`, the like terms will be those that contain
`x^2`, regardless of whether their coefficient or sign is different.

Analyzing the options:

A.-
`2x^2`

We have the same variable and the same exponent
`x^2`, so it is a like term.

B.
`3x`

You have the same variable x but not the same exponent. So it's not a like term of
`3x^2`

C.
`3x^3`

Same variable
`x` but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.

D.
`5x^2`

In this option we do have the
`x^2`, so it is a like term of
`3x^2`

E.
`x^2`

It is also a like term because it contains the
`x^2`.

In summary the like terms are:

A.-
`2x^2`

D.
`5x^2`

E.
`x^2`