Grade 11 · Math · Algebra 2

11th grade Divide polynomials by long division worksheet

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Divide polynomials by long division

Grade 11 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Ari divides x³ + 4x² − 3x + 5 by x + 2 on a worksheet. Write the quotient, a comma, then the remainder. What are they?
Bo works out (2x³ − 5x² + x − 4) ÷ (x − 2) in a notebook. Write the quotient, a comma, then the remainder. What are they?
Esme works out (x³ − 6x² + 2x + 7) ÷ (x − 4) in pencil. Write the quotient, a comma, then the remainder. What are they?
Jun divides 3x³ + 7x² − 4x + 1 by x + 3 on a puzzle card. Write the quotient (powers like x^2), a comma, then the remainder. What are they?
Kira divides x³ − 6x + 13 by x − 2 on a worksheet. One power is missing. Write the quotient, a comma, then the remainder. What are they?
Luz works out (2x³ + 3x² − 4) ÷ (x + 2) in a notebook. Write the quotient, a comma, then the remainder. What are they?
Milo divides x³ + 4x² − 9 by x − 3 in pencil. Write the quotient, a comma, then the remainder. What are they?
8.
Ren checks four answers for (2x³ − x² + 6) ÷ (x + 2) in a math book. Which one is right?
- 2x − 5 + 16/(x + 2)
- 2x² − 5x + 10 − 14/(x + 2)
- 2x² − 5x + 10
- 2x² + 3x + 6 + 18/(x + 2)
9.
Tala works out (x³ + 3x − 2) ÷ (x + 4) in pencil. Which is the whole answer?
- x² − 4x + 19 − 78/(x + 4)
- x − 1 + 2/(x + 4)
- x² − 4x + 19
- x² + 4x + 19 + 74/(x + 4)
10.
Zee divides x³ − 2x² + 5 by x − 4 in a notebook, writing a 0 for the missing power. Which is the whole answer?
- x² − 6x + 24 − 91/(x − 4)
- x + 2 + 13/(x − 4)
- x² + 2x + 8 + 37/(x − 4)
- x² + 2x + 8

11th grade Divide polynomials by long division worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Divide polynomials by long division. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can divide a polynomial by x + a or 2x + b with long division.
I can find the quotient and the remainder, and write quotient + remainder/divisor.
I can rebuild the polynomial from the divisor, quotient and remainder.

Standard: A-APR.D.6

Words to know

divisor: What you divide by: the side of the rectangle you know.

quotient: The answer to the division: the missing side.

remainder: The leftover piece that does not fit the rectangle.

placeholder 0: A 0 written for a missing power, like 0x², to keep the columns lined up.

Common mistakes

Your child added a product in long division where it must be subtracted. Try: multiply the answer back and compare with the start.

Your child wrote the next quotient term before subtracting the product.

Your child skipped a missing power instead of writing 0 for it, so the columns slid. Try: write every power from the highest down, with 0 where one is missing.

What to say

Ask: what is left after you take away the first product?

Questions parents ask

What is the most common mistake with divide polynomials by long division?

Your child added a product in long division where it must be subtracted. Try: multiply the answer back and compare with the start.

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 2

See all Algebra 2

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