The greatest common factor, or GCF, can be factored out of a polynomial. Checking for a GCF should be the first step in any factoring problem.<\/li>\n \t
Trinomials with leading coefficient 1 can be factored by finding numbers that have a product of the third term and a sum of the second term.<\/li>\n \t
Trinomials can be factored using a process called factoring by grouping.<\/li>\n \t
Perfect square trinomials and the difference of squares are special products and can be factored using equations.<\/li>\n \t
The sum of cubes and the difference of cubes can be factored using equations.<\/li>\n \t
Polynomials containing fractional and negative exponents can be factored by pulling out a GCF.<\/li>\n<\/ul>\n
Glossary<\/h2>\n
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factor by grouping<\/strong><\/dt>\n \t
a method for factoring a trinomial of the form [latex]a{x}^{2}+bx+c[\/latex] by dividing the x<\/em> term into the sum of two terms, factoring each portion of the expression separately, and then factoring out the GCF of the entire expression<\/dd>\n<\/dl>\n<\/dt>\n<\/dl>\n<\/dt>\n \t
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greatest common factor<\/strong><\/dt>\n \t
the largest polynomial that divides evenly into each polynomial<\/dd>\n<\/dl>\n<\/dt>\n<\/dl>\n<\/dt>\n<\/dl>\n\n","rendered":"
The greatest common factor, or GCF, can be factored out of a polynomial. Checking for a GCF should be the first step in any factoring problem.<\/li>\n
Trinomials with leading coefficient 1 can be factored by finding numbers that have a product of the third term and a sum of the second term.<\/li>\n
Trinomials can be factored using a process called factoring by grouping.<\/li>\n
Perfect square trinomials and the difference of squares are special products and can be factored using equations.<\/li>\n
The sum of cubes and the difference of cubes can be factored using equations.<\/li>\n
Polynomials containing fractional and negative exponents can be factored by pulling out a GCF.<\/li>\n<\/ul>\n
Glossary<\/h2>\n
\n
\n<\/dt>\n
\n<\/dt>\n
factor by grouping<\/strong><\/dt>\n
a method for factoring a trinomial of the form [latex]a{x}^{2}+bx+c[\/latex] by dividing the x<\/em> term into the sum of two terms, factoring each portion of the expression separately, and then factoring out the GCF of the entire expression<\/dd>\n<\/dl>\n
\n
\n<\/dt>\n
greatest common factor<\/strong><\/dt>\n
the largest polynomial that divides evenly into each polynomial<\/dd>\n<\/dl>\n\n\t\t\t \n\t\t\t