10.6 Day 3 - Quadratic Formula and Discriminant Homework Quadratic Formula Practice: Write out the Quadratic Formula in the box For 1 - 6: 1) Find the discriminant to figure out the number of solutions and if you can factor the quadratic 2) If the discriminant is a perfect square, factor the quadratic 3) If it is not a perfect square, use the quadratic formula to find the solution(s) of x. 2 1) x 4x 1 0 2 2) 3x 3x 1 2 4) x 10x 12 2 5) 6 x 2x 2 3) 4x 11x 3 2 6) x 4x 5 0 7. List the FIVE methods we can solve quadratic equations: 1.________________________, 2._________________________, 3._________________________ 4._______________________5.______________________ For 8 - 10, pick one of the five methods to solve the following quadratic equations: 8. 9. 10 . Discriminant Practice: Write out the discriminant in the box For 11 - 16, find the value of the discriminant and use the discriminant to tell if there are two solutions, 1 solution, or no solutions. Then, explain if you can factor the quadratic based on the value of the discriminant. 2 11) x 2x 4 0 2 12) 4x 4x 1 0 2 13) 6x x 2 0 2 14) x 6x 9 0 2 15) 6 2x 13x 2 2 16) 3x 3 10x 3x Graphing Review! 17. Convert the following into vertex form, then graph the quadratic (at least 5 points). Identify the vertex. Axis of Symmetry:____________________ Vertex:_________________________________

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