Thurs 12/3 Lesson 5 – 5 Learning Objective: To write equations given roots Hw: Pg. 315#23 – 29 odd, 37 – 41 odd, 42, 45.

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Presentation transcript:

Thurs 12/3 Lesson 5 – 5 Learning Objective: To write equations given roots Hw: Pg. 315#23 – 29 odd, 37 – 41 odd, 42, 45

Algebra II

 To write polynomial equations given its roots  To remember how to find rational roots

x x –1 2x -918x 9

-2x 4 x -2 = 25

-12x x 3 –4x 29 29x 87

3x 9 x 3 3 = -2 -7x 49 -7x x -7 = 9

-14x 7 -98x 348x

x x –1 x x -20 = -20

-2x 4 x -2 = -63

-16x 3x 4 –4x x -236

q = 6 p = 15

1 Nope! 1 is NOT a root! Use these #s for the next synthetic check!

3 Sign Change 1 Sign Change It could have 3 + roots, 1 - root, & 0 imaginary roots It could have 1 + roots, 1 - root, & 2 imaginary roots