Mathematics — first biennium · Lesson
Polynomial division repeats the cycle: divide leading terms, multiply, subtract and continue. The remainder checks dividend = divisor·quotient + remainder.
Prerequisites: Ordered polynomials and monomial division
Goal: Perform simple polynomial divisions and check quotient and remainder.
In this lesson: Perform simple polynomial divisions and check quotient and remainder.
New concept: In polynomial division, dividend = divisor·quotient + remainder. The remainder must have lower degree than the divisor; this identity also checks the result.
How to proceed: Order the polynomial. The first term is x²÷x=x; then multiply the divisor by that term and subtract.
You can already assume: Ordered polynomials and monomial division.
Completed exercises: 0/5 · Correct on first attempt: 0
Order the polynomial. The first term is x²÷x=x; then multiply the divisor by that term and subtract.
Data / situation: Divide x²+8x+16 by x+4.
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.