11
QuizMultiple Choice

Polynomial Operations — Test

Question 11 • Algebra II

Which monomials are perfect squares? Choose three correct answers.

Answer
A
17 x to the 9th power
B
9 x to the 8th power
C
25 x to the 12th power
D
6 x squared
E
36 x to the 16th power

Explanation

A monomial is a perfect square when its coefficient is a perfect-square number and every variable has an even exponent. In A, 25 = 5² and 12 is even; in C, 9 = 3² and 8 is even; in E, 36 = 6² and 16 is even. B’s coefficient 6 is not a perfect square, and D has an odd exponent.

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