Solving Polynomials with Imaginary
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Anthony Clark
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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)
Tags
CCSS.HSN.CN.C.9
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
Tags
CCSS.HSN.CN.C.9
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.
Tags
CCSS.HSN.CN.C.9
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
A
B
C
D
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A
B
C
D
Tags
CCSS.HSA-REI.B.4B
CCSS.HSN.CN.C.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A
B
C
D
Tags
CCSS.HSA-REI.B.4B
CCSS.HSN.CN.C.7
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