Use factoring to solve the equation:
\$ t + 1 = (2t - 5)/(t + 3) + (5t + 8)/(t + 3) \$

A) t = 0, t = 3

B) t = - 6, t = 4

C) t = - 3, t = 9

D) t = 2, t = 6

y = r is a root of the given polynomial. Find the other two roots and write the polynomial in fully factored form: \$ f(y) = y^3 - 7y^2 - 6y + 72\$; r = 4

A) y = 3, 5, - 2

B) y = 4, 6, - 3

C) y = - 1, 9, - 2

D) y = 2, 0, - 3

Solve the equation: \$(x^2 + 5x + 6)/(x^2 - 9) = (x + 3)/(x - 3)\$.

A) 1, - 1

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

C) No solutions

D) \$ 1/2 ,- 3/2\$

Perform the indicated operation and reduce the answer to the lowest terms: \$ (y^2 - 49)/(2y^2 - 3y - 5) \div (y^2 - y - 42)/(y^2 + 7y + 6)\$

A) \$ (y + 5)/(2y - 5) \$

B) \$ (y - 3)/(y + 1) \$

C) \$ (3y + 7)/( y - 5) \$

D) \$ (y + 7)/(2y - 5) \$

Determine where the given function is discontinuous
\$ f(x) = (x^2 - 1)/(x^3 + 6x^2 + x) \$.

A) \$ x = - 3 + \sqrt2, x = - 3 + 2\sqrt2, x = - 3 - 2\sqrt2 \$

B) \$ x = 0, x = - 3 + \sqrt2, x = - 3 - \sqrt2 \$

C) \$ x = 2 - \sqrt3, x = 3 + 2\sqrt2, x = 3 - 2\sqrt2 \$

D) \$ x = 0, x = - 3 + 2\sqrt2, x = - 3 - 2\sqrt2 \$

Solve the quadratic equation: \$2 m^2 + 7m - 15 = 0\$

A) \$ m=(2/3)\$ and m = 5

B) \$ m=(2/3)\$ and m = -5

C) \$ m=(3/2)\$ and m = -5

D) \$ m=(3/2)\$ and m = 5

Factorize the quadratic expression: \$ 9 x^2 - 6 x + 1 \$

A) \$(3 x + 1 )^2\$

B) \$(3 x - 1 )^2\$

C) \$(4 x - 3 )^2\$

D) \$(4 x + 3 )^2\$

Find the y-intercept of the function : r(x) = \$ 2 x^4 - x^3 + 5 x^2 - 8 x + 1 \$

A) ( 0, 1 )

B) ( 1, 0 )

C) ( 1, 1 )

D) ( 0, 0 )

solve this equation \$( 2x^2 - 5x + 2 )/(x-2) \$ = 0

A) x=2 and x=1

B) x=2 and x=\$1/2\$

C) x=2 and x=\$1/3\$

D) x=2 and x=-1

Find the limit of g(x) = \$ (4x^3 - 3x^2 + 5x - 7) / (2x^2 + x - 1 )\$ as x approaches -1.

A) 1

B) 2

C) Does not exist

D) none of the above