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WorksheetsFind the Zeros of a Polynomial
Total questions: 15
Worksheet time: 15mins
Find all the real zeros of the function y = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.
x = 1/2, -6
x = -1/2, 6
x = 4, -1/2, 6
x = -4, 1/2, -6
Find the Roots of the Polynomial
2x3 - 11x2 + 12x + 9 = 0
-1, 1, 3
-1, 3/2, 3
-1/2, 3, 3
-1/2, 1, 3
Use the Fundamental Theorem of Algebra to determine the total number of roots.
A
B
C
D
What is the total number of roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 10
4
5
6
7
What is another word for zeros?
solutions
x -intercepts
roots
All of the these!
-3x2+x+4=0
How many roots does this equation have?
2
1
0
4
How many zeros does the following function have?
f(x)= x5 - 3x3 + x
8
9
5
3
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
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
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
Find all zeroes given a factor of (x+3). y = 2x3 + 5x2 - 6x - 9
-1,-3,-3
-1,-3,3/2
3,3,3
-3,2/3,-1
Find all the zeros of f(x) = x3 -3x2 + x - 3
3 and -1
1 and - 3
3, i, and -i
3 and i
What are all the possible rational roots of x3 - 4x2 + 5x - 12?
+-1, +-2, +-3, +-4, +-6, +-12
+-1, +-2, +-3, +-4, +-6
+-2, +-3, +-4, +-6, +-12
+-1, +-2, +-4, +-6, +-12
List all of the possible rational zeros
p(x) = 3x2+x+7
-1/3, -7/3, -1, -7, 1/3,7/3,1,7
1/3,7/3,1,7
1, 7, 14, 21
What are the zeros of the given graph ? Choose all that apply.
−3
−1
1
3
