4.4 Real Zeros of Polynomials PRACTICE Worksheet PRINT NAME 1. Use the graph and the Factor Theorem to list the factors of f(x) 2. Use the Given Zeros to write the complete factored form of f(x). f (x) = 2x2 - 25x + 77 with zeros at - and 7 3. Use the given zeros to write the complete factored form of f(x). f(x) = x3 - 2x2 - 5x + 6 with zeros at - 2, 1, and 3 4. Use the graph to factor f(x). Assume that all zeros are integers. f (x) = -2x3 +2x 5. Write the complete factored form of the polynomial f(x), given that k is a zero. f(x) = x3 - 9x2 + 23x - 15 with k = 1factored form of f(x). 6. The graph of either a cubic, quartic, or quintic polynomial f(x) with integer zeros is shown. Write the complete 7. Use the rational zero test to find any rational zeros of the polynomial f(x). Write the complete factored form of f(x). f (x) = 2x3 + 3x2 - 8x+ 3 8. Use Descartes' rule of signs to determine the possible number of positive and negative real zeros for each function. P(x) = 2x3 - 4x2 + 2x+7 9. Polynomial Equations: Solve for all real solutions - symbolically, graphically, and numerically. x3 + x2 - 6x = 0 10. Solve the equation. Find all real solutions. x4 - x2 = 2x2 + 4 11. Solve the equation. Find all real solutions. 4x3 + 4x2 - 3x -3=0