AP Algebra 2

Which of the following is a COMPLETE list of all possible Rational Zeros?

f(x) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4, ±8

• ±1, ±2, ±4

• 1, 2, 4, 8

Which of the following is a COMPLETE list of all possible Rational Zeros?

f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3

• ±1, 7

• ±1, ±3, ±7, ±7/3

• ±1, ±3, ±7, ±1/3, ±7/3

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

• 1
• 4
• 3
• 8

A polynomial has solutions at x = 2, x = -1, and x = 3. Multiply the factors and choose the correct polynomial.

• x³ - 4x² + x - 6
• x³ - 4x² + x + 6
• x³ + 6x² + x + 6
• x³ - 4x² - x + 7

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ -3p² +16p -10
• 4p³ +3p² + 16p + 10

Solve by using Rational Root Theorem: 
x³ + 3x² - 6x - 8 = 0

•  -4, -1, 2
• -4, -1, ±√2
• 1, 2, 4
• 4,-1,√2

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Is (x-10) a factor of       f(x)=7x³-70x²-6?

• Yes, (x-10) is a factor, there is a remainder of zero.
• Yes, (x-10) is a factor, the remainder is zero.
• No, (x-10) is not a factor, the remainder is zero.
• No, (x-10) is not a factor, there is a remainder.

Determine the factors for the function above.

• (x+1)(x-1)(5x²+4)
• (x+1)(x+1)(5x⁴-x²-4)
• (x+1)(5x³-5x²+4x-4)