WorksheetsFind Roots of Polynomials
Total questions: 20
Worksheet time: 20mins
Find all the zeros, given that f(-3) = 0
f(x) = 2x3+5x2-6x-9
-1,-3,-3
-1,-3,3/2
3,3,3
-3,2/3,-1
Use the Fundamental Theorem of Algebra to determine the total number of solutions.
A
B
C
D
How many total roots/zeros are there in the polynomial.
A
B
C
D
For which function defined by a polynomial are the roots of the polynomial -4 and -6? (a)
y=x2+10x+24
y=x2−10x−24
y=x2+10x−24
y=x2−10x+24
Factor:
x3-12x2+47x-60=0 when 5 is a root.
(x-3)(x-4)(x-5)=0
(x+1)(x-4)(x-5)=0
(x-3)(x-4)(2x-5)=0
(x-5)(x-4)(x-5)=0
Given the following polynomial
f\left(x\right)=\ 4x^5-28x^4+49x^3
x = 0 has a multiplicity of __?__
(a)
If x = -10 is a root to the polynomial function f(x), then which statement below is also true?
(x + 10) is a factor
(x - 10) is a factor
x = -10 is also a root
If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.
(x + 3) , (x + 2i)
(x - 3), (x -2i), (x + 2i)
(x - 3), (x + 3), (x - 2i), (x + 2i)
(x -3 - 2i), (x + 3 - 2i)
Find the zeros of the polynomials
A
B
C
D
Which statements are true?
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 are the roots of the polynomial?
-3, 0, and 3
0
-2, 10, and -10
11, 0 and -11
What is the proper way to write the answer for the following problem?
2x3-x2-25x+12
2x4-x3-25x2-12x+0
2x3-x2-25x-12
2x4-x3-25x2-12x-0
If P( -4) = 0, which of the following statements is true about P(x)?
x+4 is a factor of P(x)
P(x) = 0, has four negative roots
4 is a root of P(x) = 0
P(0) = - 4
Find the roots of 0=x3-4x2+2x-8
±2,4
±2i,4
±i√2,4
±√2,4
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
3, √5
3, √5, -√5
-3, √5, -√5
-3, 5i, -5i
Find the zeros of the polynomial.
A
B
C
D
Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root.
7i
-7i+1
1-7i
1+7i
Which of the following would be the correct factored form with roots 2, 5i, and 6?
(x-6)(x-2)(x+5i)(x-5i)
(x+6)(x+2)(x+5i)
(x-6)(x-2)(x-5i)
(x+6)(x+2)(x-5i)
