Dividing Polynomials with Long Division
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Objective
I can divide polynomials using long division.
Part 1 of 4
Warm-up video
Kimberly Brehm · 9:06
We don't generate video — this one is by Kimberly Brehm on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
When performing polynomial long division, the polynomial must be in standard form, and you must use zero as a placeholder for any missing terms in descending order of degree.
- 2
To find each term of the quotient, divide the first term of the current dividend by the first term of the divisor, then multiply this result by the entire divisor.
- 3
When subtracting the multiplied terms, remember to change the signs of all terms in the expression being subtracted, and any value left at the end is the remainder.
Part 3 of 4
Practice
3 questions
Divide (x^2 + 5x + 6) by (x + 2) using polynomial long division.
Divide (x^3 - 27) by (x - 3) using polynomial long division. Remember to use placeholders for any missing terms.
Part 4 of 4
Exit ticket
Quick comprehension check
“Divide the polynomials using long division. Show all steps: (x³ + 4x - 5) ÷ (x + 2)”
Sample answer included in the free materials
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