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Use synthetic division to divide (4x 3 – 3x 2 + 2x + 1)/ (x – 1) (x 3 – x 2 – 6)/(x + 2) Warm up.

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Presentation on theme: "Use synthetic division to divide (4x 3 – 3x 2 + 2x + 1)/ (x – 1) (x 3 – x 2 – 6)/(x + 2) Warm up."— Presentation transcript:

1 Use synthetic division to divide (4x 3 – 3x 2 + 2x + 1)/ (x – 1) (x 3 – x 2 – 6)/(x + 2) Warm up

2 Dividing a polynomial by a monomial (4y 5 – 6y y 3 – 8y 2 ) / (4y 2 )

3 Dividing a polynomial by a polynomial using long division (6x 2 + x – 2)/ (2x – 1)

4 Dividing a polynomial by a polynomial using synthetic division (2t t + 15)/ (t + 5)

5 Factor by grouping x 3 + x 2 – x – 1

6 Factor by grouping 2x 3 – 3x 2 – 2x + 3

7 Sum and difference of two cubes

8 Factor the following x y 3 – 125

9 Factor the following 4x 5 – 32x 2 2x x 4

10 Factor theorem The expression x-a is a linear factor of a polynomial if and only if the value a is a zero of the related function. --How do you find out if a is a zero of the function?

11 Factor theorem Is -2 a zero of the following function? Y = x 3 + x 2 – 2x

12 Factor theorem Is -5 a zero of the following function? Y = x 3 + 9x x -25

13 Factor theorem Is 3 a zero of the following function? If yes then find the other remaining zeros Y = x 3 - 9x x – 27

14 Write a polynomial function in standard form with the given zeros X = 5, 6, 7X = -2, 0, 1

15 Write a polynomial function in standard form with the given zeros X = -5, -5, 1X = 3,3,3


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