Secondary Math II

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The Discriminant

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State the values of a, b, and c. 1) 4v 2 + 4v − 1 = 0

2) 8n 2 − 6n − 1 = 0

3) −3n 2 + 5n − 3 = 0

4) −7x 2 + 7x + 9 = 0

5) 7n 2 + 7n + 10 = 0

6) −6x 2 + 10x − 6 = 0

What is the discriminant? 7)

Find the value of the Discriminant for each Quadratic. 8) 9a 2 + 5a + 4 = 0

9) −7r 2 − 4r − 3 = 0

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10) −4n 2 + 2n − 9 = 0

11) −4x 2 − 7x = 0

12) −9r 2 + r − 5 = 0

13) −2b 2 − 10b − 9 = 0

Find the discriminant of each quadratic equation then state number of Zeros each graph will have. (Zeros means x intercepts). 14) 5n 2 + 10n + 5 = 0

15) 4x 2 − 8x + 4 = 0

16) 5n 2 − 7n + 4 = 0

17) −m 2 − 6m − 9 = 0

18) −r 2 + 4r − 4 = 0

19) −3x 2 − 4x − 5 = 0

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20) v 2 + 4v − 2 = −9

21) 9n 2 + 16 = 8

22) −2x 2 − 4x = 2

23) 6a 2 − 8a + 17 = 10

A) Find the discriminant of each quadratic equation. B) Determine the Number of Zeros-x intercepts C)decide if the Quadratic opens up or down. D) Draw a general sketch of the Quadratic. 24) −10k 2 + k + 2 = 0

25) 10n 2 + 9n − 7 = 0

26) −8x 2 + 9x − 7 = 0

27) −2b 2 − 4b − 3 = 0

28) −10v 2 + 10 = 0

29) 5a 2 + 10a + 5 = 0

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