HW10 - MAP 103 Prociency Algebra Homework#10 DUE THURSDAY...

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MAP 103: Proficiency Algebra Homework #10 DUE: THURSDAY, NOV. 12, 2009 1. Apply completing the square to find the roots to the quadratic equation 2 x 2 - px - 1 = 0 . Here p is an arbitrary real number. 2. Apply completing the square to find the roots to the quadratic equation 3 x 2 + 9 x - 12 = 0 . 3. Let f ( x ) = ( x + 1) 2 + 2 . Find f (0) and determine the range of f ( x ) . Write the range in interval notation. 4. A quadratic polynomial has the roots x = - 2 and x = 3 . Find the equation for the polynomial in the form ax 2 + bx + c = 0 . 5. The quadratic function f ( x ) = x 2 + 6 x + 9 has the repeated root x = - 3 . Show that the vertex, v, has coordinates v = ( - 3 , 0) . 6. Consider the quadratic function f ( x ) = x 2 + 2 x + 4 . Find the equation for the axis of symmetry and find the coordinates for the zeros (roots).
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