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The Greatest Common Factor (GCF).

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โˆ™ 2014-11-13 04:34:58
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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 do you call the product of the prime factors common to the given numbers?
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Related questions

Is a common factor the product of two factors that are the same?

No, the product of two factors that are the same is a perfect square. Common factors are numbers that divide evenly into a given set of numbers.


For a given pair of numbers how can you tell whether the least common multiple will be less than or equal to their product?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


What do you notice about the product of two given numbers and their greatest common factor?

If you divide the product of two given numbers by their GCF, the result will be their LCM.


When will the product of given numbers be greater than the LCM of the same given numbers?

When the numbers have a common factor (other than 1).


What are all the common factors?

There is not enough information to answer this question. Common factors are factors that two or more numbers have in common. Without being given at least two numbers, it is impossible to list all the common factors.


How do you get the LCD of a given number?

You cannot find the Least Common Denominator for one number. It is the product of the common factors of two or more numbers.(see the related question)


What of a list of terms is the product of all common factor?

Two or more numbers must be given to give a list of their common factors and any other information that is needed about them.


How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?

By finding their common prime numbers.


What is the meaning of greatest common factor?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.


What is the true meaning of greatest common factor?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.


What are two numbers that have 2 4 and 8 as factors and what do these numbers have in common?

They are 8 and 16 which are multiples of the given numbers


How the least common multiple of two numbers differs from the greatest common factor of the numbers?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples. Since the product of the GCF and LCM of two numbers equals the product of the two numbers themselves, the GCF of two numbers will equal the product of the numbers divided by the LCM and the LCM of two numbers will equal their product divided by their GCF.

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