Consider the cubic function \$f(x) = x^3 - 6x^2 + 9x\$. Find the x-intercepts of this function.

A) x = 0, 1

B) x = 0, 2

C) x = 0, 3

D) x = 0, 4

Find the constant 'a' values that make the function \$f(x) = ax^2 + 3x\$ continuous at x = 2.

A) Any real number

B) a must be positive

C) a = -3

D) a = 0

Complete the square by solving the quadratic equation \$2x^2 + x - 4 = 0\$.

A) x = \$(1 + \sqrt(13))/4\$ and x = \$(-1 - \sqrt(31))/7\$

B) x = \$(1 + \sqrt(13))/4\$ and x = \$(-1 - \sqrt(33))/4\$

C) x = \$(-1 + \sqrt(33))/4\$ and x = \$(1 + \sqrt(33))/4\$

D) x = \$(-1 + \sqrt(33))/4\$ and x = \$(-1 - \sqrt(33))/4\$

Solve the equation: \$ 2/x + 3/(x^2) = 5\$.

A) 1, \$-5/3\$

B) 1, \$-3/5\$

C) 1, -1

D) None of the above

Solve the equation: \$(x+1)/(x-3) − (3x-2)/(x+2) = 2\$.

A) 2 - \$\sqrt(6)\$, -2 - \$\sqrt(6)\$

B) -2 + \$\sqrt(6)\$, -2 - \$\sqrt(6)\$

C) -2 + \$\sqrt(6)\$, 2 - \$\sqrt(6)\$

D) 2 + \$\sqrt(6)\$, 2 - \$\sqrt(6)\$