Long division can be used to divide a polynomial by another polynomial, in this case a binomial of lower degree. When dividing polynomials, we set up the problem the same way as any long division problem, but are careful of terms with zero coefficients. For example, in the polynomial x^{3} + 3x + 1, x^{2} has a coefficient of zero and needs to be included as x^{3}+ 0x^{2}+3x+1in the division problem.

Polynomial Division: Dividing by a Monomial

Polynomial Division: Long Division, Dividing by a binomial

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 fractional coefficients and there is a remainder.

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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