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Unit: Polynomial division

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Possible mastery points

Dividing polynomials by x

Learn
Polynomial division introduction
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Dividing polynomials by x (no remainders)
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Divide polynomials by x (with remainders)
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Practice
Divide polynomials by x (no remainders)Get 3 of 4 questions to level up!
Divide polynomials by x (with remainders)Get 3 of 4 questions to level up!

Dividing quadratics by linear factors

Learn
Intro to long division of polynomials
(Opens a modal)
Dividing quadratics by linear expressions (no remainders)
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Dividing quadratics by linear expressions with remainders
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Dividing quadratics by linear expressions with remainders: missing x-term
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Practice
Divide quadratics by linear expressions (no remainders)Get 3 of 4 questions to level up!
Divide quadratics by linear expressions (with remainders)Get 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 400 Mastery points

Dividing polynomials by linear factors

Learn
Dividing polynomials by linear expressions
(Opens a modal)
Dividing polynomials by linear expressions: missing term
(Opens a modal)
Factoring using polynomial division
(Opens a modal)
Factoring using polynomial division: missing term
(Opens a modal)
Practice
Divide polynomials by linear expressionsGet 3 of 4 questions to level up!
Factor using polynomial divisionGet 3 of 4 questions to level up!

Polynomial Remainder Theorem

Learn
Intro to the Polynomial Remainder Theorem
(Opens a modal)
Remainder theorem: finding remainder from equation
(Opens a modal)
Remainder theorem examples
(Opens a modal)
Remainder theorem: checking factors
(Opens a modal)
Remainder theorem: finding coefficients
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Proof of the Polynomial Remainder Theorem
(Opens a modal)
Practice
Remainder theoremGet 3 of 4 questions to level up!
Remainder theorem and factorsGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 400 Mastery points
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Unit test

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About this unit

After we have added, subtracted, and multiplied polynomials, it's time to divide them! This will prove to be a little bit more sophisticated. It turns out that not every polynomial division results in a polynomial. When it doesn't, we end up with a remainder (just like with integer division!).