Rewrite rational expressions.

HSA.APR.D.6Rewrite 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.HSA.APR.D.7Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Khan Academy Resources
Adding & subtracting rational expressionsSimplifying rational expressions (advanced)Intro to adding & subtracting rational expressionsDividing rational expressionsReducing rational expressions to lowest termsMultiplying rational expressionsReduce rational expressions to lowest terms: Error analysisSimplify rational expressions (advanced)Reduce rational expressions to lowest termsDivide quadratics by linear expressions (no remainders)Divide quadratics by linear expressions (with remainders)Multiply & divide rational expressions (advanced)Add & subtract rational expressionsMultiply & divide rational expressionsDivide polynomials by x (no remainders)Add & subtract rational expressions (basic)Divide polynomials by linear expressionsMultiply & divide rational expressions: Error analysisAdd & subtract rational expressions: factored denominatorsAdd & subtract rational expressions: like denominatorsFactor using polynomial divisionDivide polynomials by x (with remainders)Divide polynomials by x (with remainders)Intro to long division of polynomialsReducing rational expressions to lowest termsSimplifying rational expressions: groupingSimplifying rational expressions: opposite common binomial factorsMultiplying rational expressions: multiple variablesMultiplying rational expressionsDividing rational expressionsSubtracting rational expressionsSimplifying rational expressions: common binomial factorsFactoring using polynomial divisionDividing quadratics by linear expressions with remainders: missing x-termAdding rational expression: unlike denominatorsSimplifying rational expressions: two variablesSubtracting rational expressions: factored denominatorsFactoring using polynomial division: missing termPolynomial division introductionSimplifying rational expressions: common monomial factorsDividing polynomials by linear expressionsAdding & subtracting rational expressions: like denominatorsSimplifying rational expressions: higher degree termsMultiplying & dividing rational expressions: monomialsDividing rational expressions: unknown expressionDividing quadratics by linear expressions (no remainders)Subtracting rational expressions: unlike denominatorsDividing polynomials by linear expressions: missing termDividing quadratics by linear expressions with remaindersIntro to adding rational expressions with unlike denominatorsDividing polynomials by x (no remainders)
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