HSA.APR.D.6
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Example Problems
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Khan Academy ResourcesDivide quadratics by linear expressions (no remainders)Divide quadratics by linear expressions (with remainders)Divide polynomials by x (no remainders)Divide polynomials by monomials (with remainders) Divide polynomials with remaindersDivide polynomials by linear expressionsFactor using polynomial divisionDivide polynomials by x (with remainders)Simplifying rational expressions (old video)Divide polynomials by x (with remainders)Dividing polynomials: long divisionDividing polynomials with remaindersIntro to long division of polynomialsIntro to polynomial synthetic divisionWhy synthetic division worksDividing polynomials: synthetic divisionFactoring using polynomial divisionDividing quadratics by linear expressions with remainders: missing x-termFactoring using polynomial division: missing termDivide polynomials by monomials (with remainders)Polynomial division introductionDividing polynomials by linear expressionsDividing quadratics by linear expressions (no remainders)Dividing polynomials by linear expressions: missing termDividing quadratics by linear expressions with remaindersDividing polynomials by x (no remainders)

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