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Fundamental Theorem of Algebra

Find all zeroes of a polynomial, including complex solutions

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.
• Video

Imaginary Solutions and Conjugate Pairs - Overview

by CK-12 //basic
Overview
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• Video

Fundamental Theorem of Algebra - Overview

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Overview
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Irrational Conjugates Theorem - Overview

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Overview
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• Video

Solving Problems Using the Fundamental Theorem of Algebra - Overview

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Overview
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• Video

Imaginary Solutions and Conjugate Pairs - Example 1

by CK-12 //basic
Find a polynomial function with real coefficients that has the given zeros
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Imaginary Solutions and Conjugate Pairs - Example 2

by CK-12 //basic
Use the given zero to find all zeros of the function
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Imaginary Solutions and Conjugate Pairs - Example 3

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Find all zeros of the function and write the polynomial as a product of linear factors
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Imaginary Solutions and Conjugate Pairs - Example 4

by CK-12 //basic
Use Descartes's Rule of Signs to determine the possible numbers of positive and negative zeros of the function
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• Video

Fundamental Theorem of Algebra - Example 1

by CK-12 //basic
Identifying the Number of Zeros Given a Polynomial Equation
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Fundamental Theorem of Algebra - Example 2

by CK-12 //basic
Finding All Zeroes (Real or Complex) Given a Polynomial Equation
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• Video

Irrational Conjugates Theorem - Example 1

by CK-12 //basic
Writing Polynomial Functions Given Rational Coefficients, Leading Coefficients and Given Zeros
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