Question

Which of the following polynomials contains like terms?

2z3+z5-9


x+x2+3x3+x5


y12-y11+y10-4y


z5+z5-z2-4

Answer 1

D

Explanation:

Like terms are terms in which the variables and exponents match exactly.

If they satisfy the above constraint, then we can combine their coefficients.

In the first expression, the exponents do not match.

In the second expression, the exponents also do not match.

In the third expression, the exponents do not match as well.

However, in the fourth expression, the first two terms have the same variable with the same exponent.

Therefore, we can combine them. Each has a coefficient of 1. Then the resulting expression will be:

`z^5+z^5-z^2-4=2z^5-z^2-4`

So, our answer is D.