2. (6-51) (10+ 3i) 4. 2-i 2+1 Perform the indicated operation with complex numbers. 1. (4+31)+(-2-5i) 3. (2-3i)(3+61) Solve the following equations over the complex number system. 5. x 4x+5=0 6. x+2x+10=0 QUADRATIC FUNCTIONS For the following exercises, write the quadratic function in standard form. Then, give the vertex and axes intercepts. Finally, graph the function. 7. f(x)=x-4x-5 8. f(x)=-2x-4x For the following problems, find the equation of the quadratic function using the given information. 9. The vertex is (-2, 3) and a point on the graph is (3, 6). 10. The vertex is (-3, 6.5) and a point on the graph is (2,6). For the following exercises, determine if the function is a polynomial function and, if so, give the degree and leading coefficient. 13. f(x)=4x-3x+2x-1 14. f(x)=5x+1 x 15. f(x) = x(3-6x+x) For the following exercises, determine end behavior of the polynomial function. 16. f(x)=2x+3x- 5x+7 17. f(x)=4x-6x+2 18. f(x)=2x(1+3x-x) GRAPHS OF POLYNOMIAL FUNCTIONS For the following exercises, find all zeros of the polynomial function, noting multiplicities. 19. f(x) = (x+3)2(2x-1)(x + 1) 20. f(x)=x+4x+4x 21. f(x)=x34x+x-4