High School

What is the greatest common factor of the polynomial's terms [tex]13x^4[/tex] and [tex]23x^2[/tex]?

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Answer :

Final answer:

The greatest common factor of the polynomial's terms 13x^4 + 23x^2 is x^2, as there are no common numerical factors between 13 and 23.

Explanation:

To find the greatest common factor (GCF) of the terms in the polynomial 13x4 + 23x2, we look for the highest power of x that is a factor of both terms, and the largest number that divides both coefficients. Here, since the terms only share the variable x squared, and the coefficients 13 and 23 are both primes with no common factor other than 1, the GCF is x2.