Homework Tips for the Week Division of Polynomials Division of a polynomial by a monomial...divide each term in the numerator by the term in the denominator and think of the sign as attached to the term. Finding the Greatest Common Factor 1. Look at the numbers you see in the expression. Could the greatest common numerical factor be one of them? 2. Don't forget to look at the variables (letters) to see if one or more are common factors. 3. Take the greatest common factor and divide it into each term to get the expression in the parentheses. 4. Check your answer by using distributive property. For examples and further explanation see: Student Tutorials- Factoring the Greatest Common Factor Look at the video for factoring the greatest common factor. Factoring Difference of Squares 1. The expression MUST be two terms, each term must be a perfect square, and the expression must be a difference of terms.Here are the perfect squares from 1 to 100: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 2. We take the square root of the first term and the square root of the last term and the signs in the parentheses must be a plus and a minus. 3. Check your answer by multiplying the binomials using FOIL. For examples and further explanation see: Student Tutorials- Factoring difference of Squares Look at the video for factoring the difference of two squares.
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