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Bellwork

Bellwork. Use the quadratic formula to solve Use synthetic substitution to evaluate for x = 2 3) A company’s income is modeled by the function . What is the value of P when x = 200?. Lesson 5.5.

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Bellwork

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  1. Bellwork • Use the quadratic formula to solve • Use synthetic substitution to evaluate for x = 2 3) A company’s income is modeled by the function . What is the value of P when x = 200?

  2. Lesson 5.5 Apply the remainder and factor theorems

  3. Objective • Use theorems to factor polynomials

  4. Standard • 3.0 – Students are adept at operations on polynomials, including long division

  5. Academic Vocabulary • Polynomial long division • Synthetic division

  6. Use Long Division 1) 147 divided by 9 2) 1214 divided by 11

  7. What are the steps for long division? 1) Divide the first term • Multiply • Subtract • Bring down next term • Repeat steps 1 - 4

  8. Polynomial Long Division

  9. Now apply steps to Polynomials

  10. Practice

  11. Practice

  12. Synthetic Division

  13. Example • Remember to use k which is opposite of what you see for the constant of the binomial!

  14. Practice If the remainder is 0 than x + 2 is a factor and the resulting quotient is also a factor which needs to be rewritten as a polynomial Remainder x2 x1 x0 Constant

  15. Now factor remaining polynomial

  16. Practice

  17. The Real World

  18. Homework Part 1 p.366 #1, 2, 3, 5, 11, 19, 25, 35, 41 Part 2 p.366 #7, 13, 17, 23, 27

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