Quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)
2026-02-28 09:50 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, depending on the expressions involved. We will learn about the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2) below.

What is the Quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)?

To find the quotient of (3x4 – 4x2 + 8x – 1) ÷ (x – 2), we can follow the steps given below. These steps make the polynomial division process straightforward.

Step 1: Divide the first term of the dividend by the first term of the divisor. Here, divide 3x4 by x to get 3x3.

Step 2: Multiply the entire divisor (x – 2) by this quotient term (3x3) and subtract the result from the original polynomial.

Step 3: Repeat the process with the new polynomial obtained after subtraction.

Step 4: Continue this division process until the degree of the remainder is less than the degree of the divisor.

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Important Glossaries of Quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)

  • Quotient: The result obtained after dividing one polynomial by another.
  • Polynomial: An algebraic expression consisting of variables and coefficients.
  • Degree: The highest power of the variable in a polynomial expression.
  • Dividend: The polynomial being divided.
  • Divisor: The polynomial by which we divide the dividend.

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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