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Academy Algebra II

Academy Algebra II. 5.5: Polynomial Long Division and Synthetic Division HW: 5.4: p.357 (30-40 even, 46-54 even). Divide. Polynomial Long Division vs. Synthetic Division. Polynomial Long Division can be used for any two polynomials.

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Academy Algebra II

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  1. Academy Algebra II 5.5: Polynomial Long Division and Synthetic Division HW: 5.4: p.357 (30-40 even, 46-54 even)

  2. Divide

  3. Polynomial Long Division vs. Synthetic Division Polynomial Long Division can be used for any two polynomials. Synthetic Division: the divisor has to be in the form x – k, where k is any constant.

  4. Divide using polynomial long division:

  5. Divide using synthetic division:

  6. Divide:

  7. Divide:

  8. Divide:

  9. 5.5: Given polynomial f(x) and a factor of f(x), factor f(x) completely.

  10. Academy Algebra II 5.5: FINISH: Polynomial Long Division and Synthetic Division Hw: 5.5: p.366 (8, 22, 28, 30, 32, 36)

  11. Given polynomial f(x) and a factor of f(x), factor f(x) completely. Steps 1.) Divide the polynomial and the factor. 2.) Factor the answer. 3.) Write out all factors.

  12. Given polynomial f(x) and a factor of f(x), factor f(x) completely.

  13. Given polynomial f(x) and a zero of f(x), find the other zeros. Zeros: answers to the polynomial equation f(x) = 0. Process. 1.) Use the zero to factor the polynomial completely. 2.) Solve to find the other zeros.

  14. Given polynomial f(x) and a zero of f(x), find the other zeros.

  15. Given polynomial f(x) and a zero of f(x), find the other zeros.

  16. Given polynomial f(x) and a factor of f(x), factor f(x) completely.

  17. Given polynomial f(x) and a zero of f(x), find the other zeros.

  18. Academy Algebra II 5.6: Find Rational Zeros HW tonight: p.374 (4-10 even) Tomorrow: p.374 (14-20 even) Next day: p.374-375 (24-30 even)

  19. List all possible rational zeros using the rational zero theorem. • Every rational zero of a function has the following form:

  20. List all possible rational zeros using the rational zero theorem. • Example: List the possible rational zeros for the function: Factors of the constant: Factors of the leading coefficient: Possible rational zeros: Possible rational zeros:

  21. List all possible rational zeros using the rational zero theorem.

  22. List all possible rational zeros using the rational zero theorem.

  23. Find the zeros of a polynomial function. • List the possible rational zeros of the function. • Test the zeros using division. (Since the zeros are x-intercepts, when you divide you should end up with a remainder of zero.) • Graph the function in the calculator to narrow your list. Only check reasonable values from the list. • The number of zeros is the same as the degree of the polynomial.

  24. Find all real zeros of the function.

  25. Do Now: Find all real zeros of the function.

  26. Academy Algebra II 5.6: Find Rational Zeros HW tonight: p.374 (16-26 even) Quiz Friday: 5.5, 5.6 (Calculator and no calculator section)

  27. Find all real zeros of the function.

  28. Find all real zeros of the function.

  29. Do Now: Find all real zeros of the function.

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