Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
Dividing polynomials
Divide polynomials and interpret quotient and remainder
Problem types
- The remainder theorem
- Divide by a linear factor
- Divide a cubic by a linear binomial and write the quotient plus remainder over the divisor
- Choose the graph of a polynomial that is divisible by a linear binomial
- Show the work: remainder of a polynomial division
Builds on
- Adding, subtracting, and multiplying polynomials
- Fluent whole-number division · Earlier idea
Polynomial long division follows the same divide, multiply, subtract and bring-down steps as whole-number long division.
Leads to
- Zeros and factors of a polynomial
- Operations on rational expressions · See it applied
Simplifying a rational expression divides the numerator polynomial by a factor of the denominator.
- Asymptotes, holes, and intercepts · Extend the idea
Dividing the numerator by the denominator shows the long-run behavior of a rational function, such as a slant asymptote.
Related skills
- Adding and subtracting mixed numbers · Related idea
An improper fraction splits into a whole number and a fraction, as a polynomial quotient splits into a quotient and a remainder over the divisor.
- The binomial theorem · Shared foundations
- Factoring over the complex numbers · Shared foundations
- Factoring quadratic expressions · Shared foundations
- Proving a polynomial identity · Shared foundations
Open the interactive map to explore lessons and skill connections.