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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 meant by factor?
Reducing fractions to their lowest terms by finding their highest common factor of the numerator and denominator When adding or subtracting fractions with different denominators by finding their lowest common multiple
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 out the GCF do variables get factored out as well as coefficients?
Yes, if they are in common for all the terms.
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.
