Factoring Using Common Monomial Factor

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What do you call a natural number, other than 1, whose only factors are 1 and itself? P_ _ m _ F_ _ t _ _ s

P_ l _ _ _ m _ _ _ s are algebraic expressions that consist of variables and coefficients.

What is my full name?

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What do you call the largest factor that all the numbers share? G_ _ _ _ _ _ t C_ m _ _ _ F_ _ _ _ r

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Writing a polynomial in the descending order of the power of the variable. S_ _ _ d _ _ d F_ _ m