Q1:
Show all work to factor x^4 − 5x^2 + 4 completely.
Q2:
Show all work to solve 3x^2 − 5x − 2 = 0.
Q3:
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

f(x) h(x)
f(x) = −4(x − 8)^2 + 3 graph of negative 1 times the quantity of x minus 3 squared, plus 2
Q4:
The functions f(x) = (x + 1)^2 − 2 and g(x) = −(x − 2)^2 + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.