Real Roots and Complex Roots of Polynomial

Real Roots and Complex Roots of Polynomial

11th Grade

13 Qs

quiz-placeholder

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Real Roots and Complex Roots of Polynomial

Real Roots and Complex Roots of Polynomial

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following roots match the above polynomial:

-3,-1,4

-3,2i,-2i

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the total number of roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 10

4

5

6

7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a cubic polynomial in standard form with roots 3 and 4i

x3-3x2+16x-48

x3-8x2-3x+52

x3+3x2+3x+1

x3+3x2-16x+48

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

State the zeros of the polynomial (include multiplicity):
f(x) = (x2+9)(x -1)3(2x + 5)

-9, 1, -5

-9, 1 (multiplicity of 3), -5

± 3i , 1 (multiplicity of 3), -5∕2

± 3i, 1, -5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the zeros of f(x) = x2+9x+14

2, 7

-2, -7

2, -7

-2, 7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

4

2

8

6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

-3+5i

-3-5i

-5i

3-5i

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