Videos and lessons with examples and solutions to help High School students
learn how to 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.

- Rewrite rational expressions,

*a*(*x*)/*b*(*x*) in the form*q*(*x*) +*r*(*x*)/*b*(*x*), where*a*(*x*),*b*(*x*),*q*(*x*), and*r*(*x*) by using factoring,**long division**, or synthetic division. - Use a computer algebra system for complicated examples to assist with building a broader conceptual understanding.

Common Core: HSA-APR.D.6

Rewriting simple rational expressions in different forms (Common Core A-APR.6)

Polynomial Division: Long Division.

This video provides two basic examples of how to divide a degree two trinomial by a degree one binomial.

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree one binomial. There are no missing terms in the dividend. The quotient has a remainder.

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree one binomial. There are missing terms in the dividend. The quotient has a remainder.

Ex 4: Divide a Polynomial by a Binomial Using Long Division

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree one binomial. There are missing terms in the dividend. The quotient has no remainder.

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree one binomial. There are missing terms in the dividend. The quotient has fractional coefficients and there is a remainder.

Ex 6: Divide a Polynomial by a Degree Two Binomial Using Long Division

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree two binomial. The quotient has a remainder.

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