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What's on the worksheet
- Divide, then say whether each result is a polynomial.\dfrac{14x^5 - 21x^3 + 7x}{7x}\dfrac{24m^4n^2 - 16m^3n^3 + 8m^2n}{8m^2n}\dfrac{10x^3 + 5x^2 - 3}{5x^2}
- Divide a cubic by a linear binomial, giving quotient and remainder.
- Divide a cubic by x minus 3 and write the result as a polynomial plus a fraction.
- Rebuild a polynomial from a divisor, quotient and remainder, then write the fraction form.
- Divide a fourth-degree polynomial by a quadratic and check by multiplying back.
- Find the mistake in Daniel's division where a term was lined up without a gap.
- Word problem: panels per row in Layla's solar farm.
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The free lesson teaches it with worked examples and practice problems.
Polynomial long division: the lesson ›More Chapter 3 worksheets: Polynomial functions
- 3.1Degree, end behavior and the shape of a polynomial graph
- 3.2Cubic, quartic and higher degree functions
- 3.3Proving polynomial identities
- 3.4Polynomial long division
- 3.5Synthetic division
- 3.6The remainder and factor theorems
- 3.7Zeros and multiplicity
- 3.8Graphing polynomial functions
- 3.9The rational root theorem
- 3.10The fundamental theorem of algebra
- 3.11Building a polynomial from its zeros
- 3.12Modeling with polynomial functions
- 3.13Factoring completely and choosing a strategy