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Mathematical Investigations III Poly Quiz Sheets 1-8 Name __________________ No Calculator. Show your work to receive full credit: 1 a. Complete the square on the following and give the vertex and zeroes of the parabola. Show your work. y 2 x 2 4 x 3 b. Sketch the parabola y 2 x 2 4 x 3 below. Clearly indicate significant points. Label the scales on both axes. Neatness and accuracy count. 2. Given f ( x) 2 x 2 bx 4 . Find all values of b such that if the roots of this quadratic are complex. IMSA SP 12 3. Write an equation (if possible) for the polynomial function which meets the following criteria: a. cubic, a single root of multiplicity one at x = 5 and no other x-intercepts. b. fourth degree with one root of multiplicity 3 and no other real roots. c. a fifth degree polynomial with a bounce point at x = 2, a pass through point at x 1 , and no other x-intercepts. 4. Label each graph of a polynomial as having even degree (E) or odd degree (O). If the graph cannot be a polynomial label (N). 5. Sketch the graph of each polynomial. Label all intercepts. a. f ( x) 2( x 3)( x 3)2 b. g ( x) 2( x 1)3 ( x 2)2 ( x 3) 6. Label each as a polynomial (p) or not a polynomial (n): a. f ( x) x 3 3 x 2 4 b. g ( x) x x 2 3 c. h( x) 3x3 x 2 3 4 1 d. g ( x) x 3 x 2 x x IMSA SP 12