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Question

When a monomial is completely factorized, what is the possible degree of each factor?

A
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B
1
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2
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Solution

The correct option is B 1
Complete Factor of a Monomial:–––––––––––––––––––––––––––––––––––––––
To factor a monomial completely, we write the coefficient as a product of primes and expand the variable part.

For example, to completely factor 15x3, we can write the prime factorization of 15 as 35 and write x3 as xxx. Therefore, the complete factorization of 15x3:15x3=35xxx

As in above example, complete factorization of 15x3 results in constant factors and variable factors with degree one.

Therefore, when a monomial is factorized, possible degree of each factor could 0 and 1.

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