Quotient of (x^3 – 3x^2 + 5x – 3) ÷ (x – 1)
2026-02-28 13:16 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 another polynomial or a constant. We will learn about the quotient of (x^3 – 3x^2 + 5x – 3) ÷ (x – 1) below.

What is the Quotient of (x^3 – 3x^2 + 5x – 3) ÷ (x – 1)?

To find the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1), we can follow the steps given below. These steps make the polynomial division process simple.

Step 1: Set up the division with the dividend (x3 – 3x2 + 5x – 3) and the divisor (x – 1).

Step 2: Divide the first term of the dividend by the first term of the divisor. Here, divide x^3 by x to get x2.

Step 3: Multiply the entire divisor (x – 1) by this result (x2) and subtract from the original dividend.

Step 4: Repeat the process with the new polynomial obtained after subtraction, which is now the new dividend. Continue this until the degree of the remainder is less than the degree of the divisor.

Step 5: The final quotient is x2 – 2x + 3, and the remainder is 0.

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Important Glossaries of Quotient of (x^3 – 3x^2 + 5x – 3) ÷ (x – 1)

  • Quotient: The result obtained after dividing one polynomial by another.
  • Dividend: The polynomial that is being divided.
  • Divisor: The polynomial by which the dividend is divided.
  • Remainder: The part of the dividend that is left over after division.
  • Polynomial: An expression consisting of variables and coefficients, involving terms in the form of powers of variables. ```

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.

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