# Dividing Polynomials

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A series of free, online Basic Algebra Lessons.

In this lesson, we will learn

• how to divide a polynomial by a monomial
• how to divide a polynomial by a binomial

### Divide a Polynomial by a Monomial

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 x3 + 3x + 1, x2 has a coefficient of zero and needs to be included as x3+ 0x2+3x+1in the division problem.

Polynomial Division: Dividing by a Monomial

### Divide a Polynomial using Long Division

Polynomial Division: Long Division, Dividing by a binomial

How to divide a degree two trinomial by a degree one binomial? 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. 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. How to perform long division by dividing a degree three polynomial by a degree two binomial?
The quotient has a remainder.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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