Ihave the answers, just need the explanations on how to get them.

question 1 (essay worth 10 points)
(02.01 mc)

show all work to factor x4 − 17x2 + 16 completely.

question 2 (essay worth 10 points)
(02.02 mc)

show all work to solve 3x2 + 5x − 2 = 0.

question 3 (essay worth 10 points)
(02.04 hc)

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) = −2(x − 4)2 + 2 graph of negative 1 times the quantity of x plus 2 squared, plus 2

the picture is attached
question 4 (essay worth 10 points)
(02.05 lc)

the functions f(x) = −(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using the completing-the-square method. is the vertex for each function a minimum or a maximum? explain your reasoning for each function.