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What is the greatest common factor of x and x square?

User Hassek
by
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2 Answers

4 votes

Answer:

x

Explanation:

The greatest common factor (GCF) of two or more polynomial expressions is the polynomial with the largest degree that is a factor of their polynomials.


\textsf{ The prime factorization of x is }\sf x = x^1


\textsf{ The prime factorization of $\sf x^2 $ is $ \sf x^2$ }


\textsf{ The only factor that x and $ \sf x^2 $ share is x, which has a degree of 1.}

Therefore, the GCF of x and x^2 is x.

User Vinibrsl
by
8.3k points
1 vote

Answer: x

For instance, if x = 7 then x^2 = 49. The GCF of 7 and 49 is 7.

For x and x^2, both have the common factor x. Think of x^2 as x*x.

User Borowis
by
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