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Mastering Polynomial Division: Real Zeros, Algorithm & Examples

Learn about the division algorithm for polynomial functions. Understand how to express polynomials as a product, determine the number of times the divisor's leading term goes into the dividend's leading term, and apply the step-by-step process of polynomial division. Explore examples to grasp the concept fully and use it to factor polynomials effectively. Homework assignment: Page 123, problems 1-11 (odd). Enhance your understanding of polynomial division now!

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Mastering Polynomial Division: Real Zeros, Algorithm & Examples

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  1. Real Zeros of Polynomial Funcions 2-3

  2. Division Algorithm • This can be expressed as a product.

  3. Division with Polynomials • The algorithm does not change. • How many times does the leading term of the divisor go into the leading term of the dividend? • Write it at the top in the correct slot. • Multiply the divisor • Subtract the result • Repeat until the degree of what remains is smaller than the divisor

  4. Example • Divide by and use the result to factor the polynomial completely.

  5. Example • Divide by

  6. Example • Divide by

  7. Homework • Pg 123 #1-11 odd

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