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) is the dividend, b(x) is the divisor, q(x) is the quotient, and r(x) is the remainder) 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 ResourcesReducing rational expressions to lowest termsReduce rational expressions to lowest terms: Error analysisReduce rational expressions to lowest termsDivide quadratics by linear expressions (no remainders)Divide quadratics by linear expressions (with remainders)Divide polynomials by x (no remainders)Divide polynomials by linear expressionsFactor using polynomial divisionDivide polynomials by x (with remainders)Divide polynomials by x (with remainders)Intro to long division of polynomialsReducing rational expressions to lowest termsFactoring using polynomial divisionDividing quadratics by linear expressions with remainders: missing x-termFactoring using polynomial division: missing termPolynomial 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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