Answer:
The greatest common factor of [tex]x^{8}[/tex] and [tex]x^{5}[/tex] is 3rd answer
Step-by-step explanation:
The greatest common factor of some numbers is the highest common factor of these numbers
Ex: The highest common factor of 8 and 12 is 4 because the factors of 8 are 1, 2, 4, 8 and the factors of 12 are 1, 2, 3, 4, 6, 12, so the common factors of them are 1, 2, 4 and the highest one is 4
The greatest common factor of some terms of the same variable is the smallest exponent
Ex: The greatest common factor of x² and x³ is x²
∵ The terms are [tex]x^{8}[/tex] and [tex]x^{5}[/tex]
∵ The smallest exponent is 5
∴ The greatest common factor of [tex]x^{8}[/tex] and [tex]x^{5}[/tex] is [tex]x^{5}[/tex]
The terms are x^8 and x^5
The smallest exponent is 5
The greatest common factor of x^8 and x^5 is x^5
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