Algebra 2 Companion Book, Volume 1

5.1.6 The Quadratic Formula - Practice

1.  Identify the zeros of the function f ( x ) = 4 x 2 − 8 x − 1 using the Quadratic Formula.

2.  Identify the zeros of the function f ( x ) = 3 x 2 − 4 x + 8 using the Quadratic Formula.

3.  Identify the number and type of solutions for the equation x 2 − 7 x + 3 = 0.

4.  Identify the number and type of solutions for the equation 25 x 2 − 20 x + 4 = 0.

5.  Identify the number and type of solutions for the equation 3 x 2 + 2 x + 9 = 0.

6.  A cliff diver dives into the water from an overlook. His height in feet is given by y ( t ) = − 16 t 2 + 32 t + 84, where t is the time in seconds. The horizontal distance in feet of the diver from the overlook is given by x ( t ) = 2 t . What horizontal distance will the diver travel before he hits the water?

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