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What is the greatest common factor for two monomials?
4
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 are the three methods of factoring?
1. Factoring out a common monomial 2. Factoring out the differnece of two perfect square numbers 3. Factoring out a common binomial
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.
What is the result of factoring out the greatest common factor from the expression twenty four plus thirty six?
(12 x 2) + (12 x 3) = 12(2 + 3)
In factoring a trinomial with a leading coefficient other than 1 what is the first step?
find a greatest common factor or GCFin factoring a trinomial with a leading coefficient other than 1 the first step is to look for a COMMON factor in each term
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 for two monomials?
4
There are three monomials such that the greatest common factor of the first and second monomials is 2xy and the greatest common factor of the second and third monomials is 2x2y?
The possibilities are infinite. One set: 1. 2xy 2. 2x2y 3. 2x4y
What is the greatest common factor of the monomials 18xy3z2 66x2yz3?
6xyz2
What is the greatest common factor monomials 27x2 and 45x3y2?
9x2
What is the greatest common factor of monomials of 15x4 and 35x2?
5x^2
WHAT IS THE GREATEST COMMON FACTOR IN MONOMIALS FOR 25X AND 10Y?
The GCF is 5.
What is the greatest common factor of the monomials 9s3 and 27s4?
The GCF is 9s3
Can there be more than one greatest common factor of a given set of monomials?
No.
What are two monomials whos greatest common factor is 1?
5a and 7b
Factor the trinomial. Factor out all common monomials first 25x3 - 60x2 32x?
If that's + 32x, the answer is x(5x - 8)(5x - 4)
