Question

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

Answer 1

Answer:

A.-$2x^2$

D.$5x^2$

E.$x^2$

Step-by-step 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.$x^2$