Solving Polynomials with Imaginary

Solving Polynomials with Imaginary

11th Grade

20 Qs

quiz-placeholder

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Solving Polynomials with Imaginary

Solving Polynomials with Imaginary

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Imagine a scenario where Aria is solving a polynomial equation with real coefficients in her math class. She finds that one solution of the equation is in the form (a - bi), where (b ≠ 0). Which of the following expressions must also be a solution according to the complex conjugate root theorem?

(a + bi)

(-a + bi)

(-b + ai)

(b - ai)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Imagine Mason is analyzing a polynomial function f(x) = x^4 - 12x + 1 as part of his mathematics project. Including all real and imaginary solutions, how many solutions exist for this function?

0

1

2

4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

During a mathematics competition, Priya is tasked with analyzing the polynomial (x^8 + 2x^5 - x^4 + 6). Which statement is true about this polynomial?

It has exactly 4 roots, including any repeated roots, that must be real numbers.

It has exactly 8 roots, including any repeated roots, that must be real numbers.

It has exactly 4 roots, including any repeated roots, that may be either real or complex numbers.

It has exactly 8 roots, including any repeated roots, that may be either real or complex numbers.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Imagine Luna is working on a complex project involving polynomial equations. She encounters the equation 7x^4 - 5x^3 + 9x^8 + 10x - 6 = 0. How many solutions, including all real and imaginary solutions, does this equation have?

6

7

8

9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A

B

C

D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A

B

C

D

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A

B

C

D

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