
Solving Polynomials Rational Root Theorem
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSA.APR.B.2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSF-IF.C.7C
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
How many possible negative rational solutions answers are there for x4 - 17x3 + 77x2 - 127x + 66 = 0?
(a)
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
x4 - 17x3 + 77x2 - 127x + 66 = 0
First find all the zeroes. Then find the sum of ALL the solutions.
(a)
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
x4 - 3x3 - 7x2 + 15x + 18 = 0
Find all the solutions. What solution is the answer twice?
(a)
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