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Dividing Polynomials by Monomials

Learn how to effectively divide polynomials by monomials in this comprehensive guide. The process involves two simple steps: dividing coefficients and variables. We break down polynomials, which can consist of one, two, or three terms, and exemplify the steps through practical problems. By splitting the polynomial into separate fractions, dividing each fraction, and simplifying, we make the division process clear and easy to understand. Master this essential algebra skill and elevate your mathematical proficiency.

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Dividing Polynomials by Monomials

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  1. Dividing Polynomials by Monomials

  2. Remember… • To divide monomials by monomials, it is a 2 Step process. 2 Steps: • Divide the numbers (coefficients) • Divide the letters (variables)

  3. So… • To divide polynomials by monomials, use the same rules • Polynomials will either have one, two or three terms

  4. Example  First, we split this fraction into 3 different fractions.  Now, we divide each fraction and simplify. = 3u0v2 – 2u2v0 + u-1v0  Simplify

  5. Example 2  First, we split this fraction into 2 different fractions.  Now, we divide each fraction and simplify. = 6x1y0z2 – x0y1z0  Simplify = 6xz2 – y

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