1.5 Review

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

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, 5, 1/2, 5/2
• ±1, 2, 5, 1/2, 5/2
• ±1, 5
• ±1, 2, 5, 1/2, 5/2, 2/5

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 8x² - 23x + 30

• 3
• -1
• -10
• 1

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 7x² + 2x + 40

• 8
• 2
• 5
• 40

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

For the following problems write the simplest polynomial function with the given zeros: 7 with multiplicity of 2 and -3

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

• 4 real, 0 imaginary roots

• 0 real, 4 imaginary roots

• 2 real, 2 imaginary roots

• 3 real, 1 imaginary roots