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What is different about factoring with a common factor and factoring by the greatest common factor?
When you divide 2 or more numbers by a common factor which is not the greatest common factor, they will still have a common factor which is greater than 1. When you divide them by their greatest common factor, the quotients are coprime - that is, they no longer have a factor in common other than 1.
When factoring a trinomial why can't one of the monomials have a greatest common factor?
What makes a greatest common factor "common" is comparing at least two terms and finding something common between them.
What is the common monomial factor of 15X plus 21xy?
3x
What is the greatest common factor of 144 and 175?
The greatest common factor of 144 and 175 is 1. Factoring completely, we determine: 144 = 12 * 12 = 3 * 3 * 4 * 4 = 3 * 3 * 2 * 2 * 2 * 2 * 1 175 = 7 * 25 = 7 * 5 * 5 * 1 Since the only factor these have in common is 1, 1 is their greatest common factor.
Do you add or multiply when doing greatest common factor?
One place where this is used is to simplify fractions: you need to find the greatest common factor, then divide top and bottom by this greatest common factor.Also, in factoring expressions - you can take out the greatest common factor. For example (using "^" for power): 5x^2 + 10x has the greatest common factor 5x; so this can be taken out as a common factor, resulting in 5x(x + 2).
What is the meaning of GCF of monomial?
gcf is Greatest Common Factor. It means what is the largest value that can go into what you are factoring.
What is the greatest common factor and monomial of 42 and 60?
It is 6
What is the first thing you do when factoring an expression?
Factor out the Greatest Common Factor.
Find the greatest common monomial factor 3x2-15x4?
the answer is 3x2
What is the greatest common monomial factor for 15x and -20xy?
35
Find the greatest common monomial factor 24y8 and 6y6?
6y6
What are the kinds of factor?
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
What is the greatest common monomial factor 3x3y3 plus 21x3y2z?
The GCF is 3x3y2.
What are the 5 kinds of factoring?
the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.
What is the greatest common factor of 7e and 7e2?
Additive factoring.7e + 7e2= 7e(1 + e)----------------------so,7e=====greatest common factor
What is different about factoring with a common factor and factoring by the greatest common factor?
When you divide 2 or more numbers by a common factor which is not the greatest common factor, they will still have a common factor which is greater than 1. When you divide them by their greatest common factor, the quotients are coprime - that is, they no longer have a factor in common other than 1.
What two monomials whose greatest common factor is 4M?
The two monomials with a greatest common factor of 4M would be 4M and another monomial that includes 4M as a factor. For example, 4M and 12M would have a greatest common factor of 4M. This is because both 4M and 12M can be divided by 4M without a remainder. The greatest common factor represents the largest monomial that can divide evenly into both monomials.
