Quotient of (2x^4 – 3x^3 – 3x^2 + 7x – 3) ÷ (x^2 – 2x + 1)
2026-02-28 12:44 Diff

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Last updated on October 4, 2025

The result we get when we divide one polynomial by another polynomial is called the quotient. The quotient can be a polynomial of a lower degree, depending on the polynomials involved. We will learn about the quotient of (2x^4 – 3x^3 – 3x^2 + 7x – 3) ÷ (x^2 – 2x + 1) below.

What is the Quotient of (2x^4 – 3x^3 – 3x^2 + 7x – 3) ÷ (x^2 – 2x + 1)?

To find the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1), we can follow the steps given below. These steps help simplify the polynomial long division process.

Step 1: Divide the first term of the dividend by the first term of the divisor. Here, divide 2x4 by x2 to get 2x2.

Step 2: Multiply the entire divisor by this quotient term (2x2) and subtract the result from the original polynomial.

Step 3: Repeat the process with the new polynomial obtained after subtraction until the degree of the new polynomial is less than the degree of the divisor.

Step 4: The result is the quotient, and any leftover polynomial is the remainder.

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Important Glossaries for Polynomial Division

  • Quotient: The result we obtain after dividing one polynomial by another.
  • Dividend: The polynomial that is being divided.
  • Divisor: The polynomial by which we divide the dividend.
  • Degree: The highest power of the variable in a polynomial.
  • Remainder: The leftover polynomial after division when the degree of the result is less than that of the divisor.

Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.