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.

• 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.