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.

• 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. ```