5.1.6 The Quadratic Formula - Worksheet
Example 1: Find the zeros of each function by using the Quadratic Formula. 1. f ( x ) = x 2 + 7 x + 10 2. g ( x ) = 3 x 2 − 4 x − 1
3. h ( x ) = 3 x 2 − 5 x
4. g ( x ) = − x 2 − 5 x + 6
5. h ( x ) = 4 x 2 − 5 x − 6
6. f ( x ) = 2 x 2 − 19
Example 2: Find the zeros of each function by using the Quadratic Formula. 7. f ( x ) = 2 x 2 − 2 x + 3 8. r ( x ) = x 2 + 6 x + 12
9. h ( x ) = 3 x 2 + 4 x + 3
10. p ( x ) = x 2 + 4 x + 10
11. g ( x ) = − 5 x 2 + 7 x − 3
12. f ( x ) = 10 x 2 + 7 x + 4
Example 3: Find the type and number of solutions for each equation. 13. 4 x 2 + 1 = 4 x 14. x 2 + 2 x = 10
15. 2 x − x 2 = 4
Example 4: 16. One leg of a right triangle is 6 in. longer than the other leg. The hypotenuse of the triangle is 25 in. What is the length of each leg to the nearest inch?
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