Solving Polynomials Using Rational Root Theorem

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

Use the rational root theorem to state ALL possible roots

• Plus or Minus: 5, 1 and 1/2

• Only positive: 5 and 1

• Only negative: 5, 1, 1/2, and 5/2

• Plus or Minus:5, 1, 1/2, and 5/2

Use the rational root theorem to state all possible roots

• Plus and Minus:1,1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/5, 3/10, 6, and 6/5

• Only positive: Don't pick this, u should know its plus and minus by now

• Only negative: see option 2

• Plus and Minus: 1, 1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/10, and 6

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

Use the Rational Root Theorem to determine the list of possible rational roots.

• A

• B

• C

• D

Which of the following is NOT a possible rational root. 

• A

• B

• C

• D

Which of the following is NOT a possible rational zero for p(x). 

• A

• B

• C

• D

Solve by using Rational Root Theorem: 
x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, - 3

• -1, -2, 3

• 1,-2,-3

• 
• 
• 
• 

List all the possible rational zeros
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12

• 1,2,6,12

• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12