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Long and Synthetic Division

Long and Synthetic Division. Long Division. Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and a remainder polynomial r(x). Question 1. Make sure the powers are in descending order! Divide Using Long Division (. Question 2.

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Long and Synthetic Division

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  1. Long and Synthetic Division

  2. Long Division • Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and a remainder polynomial r(x)

  3. Question 1 • Make sure the powers are in descending order! • Divide Using Long Division (

  4. Question 2 • Divide Using Long Division (x

  5. Question 3 • Divide Using Long Division (

  6. Question 4 • Divide Using long Division (42 +

  7. Question 5 • Use the Remainder Theorem to evaluate each function at the given value. f(x) = 2

  8. Question 6 • Use the Remainder Theorem to evaluate each function at the given value. f(m) = at x=7

  9. Question 7 • Find all the zeros. One zero has been given. f(x)=

  10. Question 8 Find all the zeros. One zero has been given. • f(x)= 2

  11. Question 9 Find all the zeros. One zero has been given. • f(x)= 1

  12. Question 10 Find all the zeros. One zero has been given. • f(x)= 4

  13. Question 11 Find all the zeros. One zero has been given. • f(x)= -1

  14. Question 12 • State the possible rational zeros for each function. Then find all rational zeros. f(x)=

  15. Question 13 • State the possible rational zeros for each function. Then find all rational zeros. f(x)=4

  16. Question 14 • State the possible rational zeros for each function. Then find all rational zeros. f(x)=

  17. Question 15 • Just list the possible rational zeros. f(x)=5

  18. Question 16 • What are rational and irrational numbers?

  19. Question 17 • What type of zeros will not be included in the possible rational numbers list?

  20. Question 18 • What are the two important things that the Remainder Theorem says?

  21. Question 19 • What does it mean to have multiplicity of zeros?

  22. Question 20 • How can you verify zeros of a polynomial using a graphing calculator?

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