MIII.A-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
Write an expression that is equivalent to:
Write an expression that is equivalent to:
Write two expressions that are equivalent to:
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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