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Examples Rational Zero Theorem For the following polynomials, list all of the possible real zeroes. Do not forget the  ’s. 1. x 3 - 12x 2 - 15x + 8 2.

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Presentation on theme: "Examples Rational Zero Theorem For the following polynomials, list all of the possible real zeroes. Do not forget the  ’s. 1. x 3 - 12x 2 - 15x + 8 2."— Presentation transcript:

1 Examples Rational Zero Theorem For the following polynomials, list all of the possible real zeroes. Do not forget the  ’s. 1. x 3 - 12x 2 - 15x + 8 2. x 3 + 7x 2 - 20x - 27 3. 2x 3 - 5x 2 + 9x + 21 4. 3x 3 - 11x 2 – 5x + 32 5.4x 3 + 13x 2 – 19x – 36 6.6x 3 + 11x 2 – 29x + 9 7.5x 3 - 27x 2 + 13x – 18

2 Algebra 2 Rational Zero Theorem Practice In each problem below, list all possible zeroes for each polynomial given. Pick any 8 of the 12 problems. 1. x 3 + 14x 2 - 32x - 15 2. x 3 - 13x 2 - 27x + 24 3.x 4 – 3x 3 + 5x 2 – 12x + 364. x 4 + 11x 3 – 23x 2 + x – 18 5. 2x 3 + 17x 2 – 36x - 8 6. 3x 3 - 24x 2 + 16x - 12 7. 4x 3 - 31x 2 - 14x + 16 8. 5x 3 + 16x 2 – 7x + 30 9.6x 4 – 14x 3 + 17x 2 – 8x – 4210. 8x 4 + 25x 3 – 16x 2 – 9x + 1 11. 7x 3 – 9x 2 + 13x – 1912. 12x 4 – 35x 3 + 18x 2 – 8x + 2

3 Algebra 2 Rational Zero Theorem Practice(Part 2) EXAMPLES In each problem below, find all zeroes for each polynomial. Show work! 1.x 3 - 9x 2 + 14x + 24 2. 3x 3 - 31x 2 + 32x + 36 3.25x 3 + 75x 2 - 36x – 108 4. x 4 - 2x 3 – 24x 2 + 32x + 128 5.7x 3 - 31x 2 +33x – 9 6.4x 4 – 45x 2 + 81

4 Algebra 2 Rational Zero Theorem Practice(Part 2) In each problem below, find all zeroes for each polynomial. Show work! 1. x 3 - 7x 2 + 7x + 15 7. 4x 3 -12x 2 + 3x + 5 2. x 3 + 8x 2 - 11x - 18 8. 9x 3 + 15x 2 - 8x -4 3.x 3 – 8x 2 + 20x – 16 9. x 4 + 3x 3 – 22x 2 – 12x + 72 4. 2x 3 – 1x 2 - 18x + 9 10. x 4 + 5x 3 – 10x 2 – 80x - 96 5. 3x 3 + 13x 2 + 8x - 12 11. 18x 4 + 9x 3 – 59x 2 - 25x + 25 6. 5x 3 – 14x 2 – 4x + 24 12. 48x 4 – 64x 3 - 67x 2 + 4x + 4

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