simply Math

Problem 1:

Find all real number solutions to the following equation:

5 (2x 1)2 = 0 Problem 2: Find all real number solutions to the following equation:

x 1 2 2 = 3 4 Problem 3: Perform the indicated operations (1 3i) (4 + i) Problem 4: Find the complex solutions to the following equation 1 :

x 4 x2 2 = 0 1 Remember, all real numbers are complex numbers, so complex solutions means both real and non-real answers. Problem 5:

Graph the following functions starting with the graph of f(x) = x2 and using transfor- mations. Find the vertex, state the range and \fnd the x and y intercepts, if any exist.

g (x) = (x 2)2 1 Problem 6: Find the degree, the leading term, the leading coe cient, the constant term and the end behavior of the given polynomial.

f(x) = 4 x5 x2 + 2 x+ 5 Problem 7: Find the domain of the following rational function. Write it in the form p(x) q (x) for polynomial functions pand qand simplify:

f(x) = 1 3 x + 1 Problem 8: Sketch a detailed graph of:

f(x) = 2x x 2 1 Problem 9: Perform the indicated operation and simplify 10x(x 3) 1 + 5 x2 ( 1)(x 3) 2 Problem 10:

Solve the rational equation.

2x x + 3 = 5