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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What are 3 number who's Greatest Common Factor is 12 with one of the numbers being greater than 100?
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Can the greatest common factor be greater than 18?

The Greatest Common Factor depends upon the numbers for which there are common factors and it is the greatest one of them; it can be greater than 18, for example the greatest common factor of 40 and 100 is 20. The greatest common factor must be one of the factors of each of the numbers. As the factors of each number cannot be greater than that number, the greatest common factor of a set of numbers cannot be greater than the least number. If this number is not greater than 18 then the greatest common factor of the numbers cannot be greater than 18. Even if the least number is greater than 18 it is possible that the greatest common factor of a set of numbers is still not greater than 18, for example the greatest common factor of 20, 30 and 50 is 10.


Is the Greatest common factor of a pair of numbers even greater than both numbers?

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.


When is the greatest common factor of two numbers less than both numbers but greater than 1?

When they have a factor in common greater than one.


Can the greatest common factor of positive numbers be greater than both numbers?

No, the greatest common factor cannot be larger than any of the numbers in the set.


Is the greatest common factor of a pair of numbers ever greater than both numbers?

No.


Is the Greatest Common Factor of two numbers greater than both numbers?

Yes it is.


What is the greatest common factor of 2 8 and 14?

The greatest common factor of 2, 8, and 14 is 2. The greatest common factor of any set of numbers can't be greater than the smallest of the numbers.


When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?

No, the GCF is the lesser of the numbers.


How do you the Greater Common factor of two numbers?

Factor both numbers. Select the factors they both have in common. Choose the largest (greatest) one.


Can the greatest common factor of any set of numbers be greater than any one of the numbers?

No.


Is it true that when one number is multiple of another the greatest common factor of the numbers is greater of the numbers?

No, the lesser.


Do all composite numbers share the greatest common factor that is greater than 1?

No.

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