How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson plan that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the rational root theorem are addressed making connections between factors and division; remainders and factors; and x-intercepts and factors. Alternative methods of division are also given.

Concepts

division polynomials, synthetic division

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Additional Tags

math

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Instructional Ideas

• Extend to include the use of nonlinear divisors to address the need for long division over synthetic division

Classroom Considerations

• A warm-up and guided instruction materials are provided; however the instructor will need to supplement practice and assessment problems

Pros

• A logical progression from long division to synthetic division to the rational root theorem
• Alternative methods of division are provided to allow for additional exploration 

Cons

• Only linear divisors are used
• Lacks problems for practice and assessment

Common Core

HSA-APR.B.2 HSA-APR.D.6