• Conjugate Acids and Bases

Science›Chemistry›Acids and Bases
Understanding acid-base conjugate pairs.
• Using the Conjugate Zeros Theorem - Concept

Math›Precalculus›Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
• Using the Conjugate Zeros Theorem - Problem 1

Math›Precalculus›Polynomial and Rational Functions
How we find the zeros of a quartic (4th degree polynomial) function when one imaginary zero is known.
• Using the Conjugate Zeros Theorem - Problem 3

Math›Precalculus›Polynomial and Rational Functions
How we find the zeros of a quintic (5th degree polynomial) function when two imaginary zeros are known.
• Using the Conjugate Zeros Theorem - Problem 2

Math›Precalculus›Polynomial and Rational Functions
How we find the zeros of a quartic (4th degree polynomial) function when one imaginary zero is known.

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• Rationalizing a Denominator with a Binomial - Concept

How to rationalize a denominator by multiplying by the conjugate.
• Dividing Radicals and Rationalizing the Denominator - Problem 3

How to rationalize denominators using the conjugate and reduce the result.
• Dividing Radicals and Rationalizing the Denominator - Problem 2

How to rationalize denominators using the conjugate.
• Rationalizing a Denominator with a Binomial - Problem 1

How to rationalize a denominator by multiplying by the conjugate.
• Evaluating Limits Algebraically, Part 2 - Problem 3

Math›Calculus›Limits and Continuity
How to evaluate the limit of a radical function at points where it is not continuous by multiplying by the conjugate of the radical expression.
• Rational Roots Theorem - Problem 3

Math›Algebra 2›Factoring
The fundamental theorem of algebra, imaginary conjugates, and irrational conjugates as roots of a polynomial.
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• Computing Difference Quotients - Problem 3

Math›Precalculus›Introduction to Functions
How to compute and simplify the difference quotient of a radical function.
• Computing Difference Quotients - Problem 3

Math›Precalculus›Equations of Lines, Parabolas and Circles
How to compute and simplify the difference quotient of a radical function.
• The Hyperbola - Problem 1

Math›Precalculus›Conic Sections
To graph a hyperbola.
• Concept

Science›Chemistry›Acids and Bases
Understanding equilibrium systems.
• Polynomial Function - Problem 2

Math›Algebra 2›Polynomials
Writing a polynomial from a binomial radical zero and its conjugate.
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• The Hyperbola - Problem 1

Math›Algebra 2›Conic Sections
To graph a hyperbola.