Algebra III Review - #23 - 42

#23a. Divide and factor completely.

(3x³ - 17x² + 15x - 25) ÷ (x - 5)

• (x - 5) ( 3x² - 2x + 5)

• (x - 5)(3x - 5)(x +1)

• (x - 5)(x - 5)(x + 3)

• 3x² - 32x - 145 + 700/(x - 5)

#23b. Divide and factor completely.

(5x³ + 18x² + 7x - 6) ÷ (x + 3)

• (x + 3) ( 5x² + 3x - 2)

• (x + 3)(x + 1)(5x - 2)

• (x + 3)(x + 5)(x - 2)

• 5x² + 33x + 106 + 312/(x + 3)

24a. Identify the horizontal and vertical asymptotes.

• HA: y = 2 VA: x = √2

• HA: y = 2 VA: None

• HA: y = -2 VA: None

• HA: None VA: x = 2

#24b. Identify the horizontal or vertical asymptotes.

• HA: y = 1 VA: x =2, -2

• HA: y = -1 VA: x = -2

• HA: y = 0 VA: x = 0

• HA: none VA: y = 1

#25. Solve the system of equations

• x = -15 y = 7

• x = 7 y = -15

• x = -15/4 y = 7/-12

• x = 7/12 y = 15/4

#26. Solve the system of equations

• x = 4 y = 3

• x = -4 y = -3

• x = 3 y = 4

• x = -3 y = -4

#27. Use back-substitution to solve the system of linear equations.

• x = 2, y = -3, z = -2

• x = -2, y = 3, z = -2

• x = -2, y = -3, z = -2

• x = 2, y = 2, z = -2

#28. Use back-substitution to solve the system of linear equations.

• x = -17, y = -11, z = -3

• x = 17, y = -11, z = -3

• x = -11, y = -17, z = -3

• x = 11, y = 17, z = -3

#33. Find the zeros of the function.

• x = 1, -5, 5

• x = 1

• x = 0, 1

• x = 1, 5, 25

#34. Find the zeros of the function.

• x = -3/2, 3/2

• x = 1

• x = 0

• x =0, -3/2, 3/2