1) The vertex of the parabola y = (x - 1)²- 5 is:

Select one:

a.(-1, -5)

b.(-1, 5)

c.(1, 5)

d.(1, -5)

e.None of these

2) The remainder of x⁸+ 1 divided by x + 1 is:

Select one:

a.1

b.2

c.3

d.4

e.None of these

3) The graph of f(x) = 6x⁵- 5x⁴+ 12x³+8x²+2x + 9 would have, at most, how many x-intercepts?

Select one:

a.0

b.2

c.5

d.6

e.9

Q4) The remainder of x⁸- 37x⁵+ 38x - 37 divided by x is:

Select one:

a.37

b.38

c.-38

d.-37

e.None of these

Q5) The roots of x²+ 5 x - 19 = 0 are:

Select one:

a.(5 + 9)/2, (5 + 9)/2

b.(5 - 9)/2, (5 - 9)/2

c.(5 - 9)/2, (5 + 9)/2

d.(-5 - 9)/2, (-5 + 9)/2

e.None of these

Q6) If A = 1 - i, B = 2 - i, C = 1 + i, and D = 2 + i then ABCD would be?

Select one:

a.4

b.-4

c.10

d.-10

e.None of these

Q7) If f(x) has odd degree and negative leading coefficient, as x goes to -, then f(x) would go to?

Select one:

a.-

b.0

c.1

d.

e.None of these

Q8) The graph of f(x) = x³-6x²+ 4x +1 hits the x-axis how many times?

Select one:

a.0

b.1

c.2

d.3

e.4

Q9) What is i¹⁰³?

Select one:

a.1

b.-1

c.i

d.-i

e.None of these

Q10) The real roots of (x⁴- 1).(x⁴+ 2) = 0 are:

Select one:

a.-2, 1

b.-1, 2

c.1, 2

d.-1, 1

e.None of these