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Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.

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Q: When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?
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What are all the steps to finding the greatest common factor?

Hug


How can you order rational numbers from least to greatest?

first finding the whole number and then sort them out from least to greatest in answers


Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.


What is the greatest common factor tree?

That doesn't really exist. A factor tree is a way to notate the process of finding the prime factorization of a given number. The greatest common factor, or GCF, is the largest number that can divide evenly with no remainder into a given set of numbers.


How does finding the greatest common factor help us solve real world problems?

That presumes that math class is not part of the real world, which is debatable. Finding the greatest common factor can help reduce fractions. In a practical, non-academic setting, chefs and carpenters work with fractions and might have need of this skill.

Related questions

When finding the GCF of a polynomial can it ever be smaller than the smallest coefficent?

Yes.


What is the difference in evaluating a polynomial and solving a polynomial?

Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.


What is the difference in finding the m and n when factoring a polynomial with a leading coefficient that does not equal one?

The difference depends on what m and n equal. If they are both variable then it dpends on what the equations are for each variable.


Finding values of polynomial functions?

Substitute that value of the variable and evaluate the polynomial.


When do you use GCF and LCM?

Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors


If your finding the Greatest Common Factor of 2 given numbers and the smallest number is a factor of a larger number then what must the Greatest Common Factor be?

the smaller number


What property is used when finding the product of a monomial and a polynomial?

Distributive


What does factoring a polynomial mean?

It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.


What is the equation for finding the discriminant?

The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.


What is the purpose for finding temperature coefficient of resistance?

to investigate change in resistance as temperature is varied


Why was polynomial afriad of finding her second derivative?

She was afraid it would be constant. (Constance) She was afraid it would be a related function.


Coefficient of restitution?

The coefficient of restitution is how you quantify bounciness or give bounciness a number, and you do that by dividing the bounce height by the drop height, then finding the square root of that. When you have more bounces you can find more than one coefficient of restitution!