Question

divide x³-3x²+5x-3 by x-2​

Answer 1

Answer:

Quotient : x² - x + 3

Remainder : 3

Step-by-step explanation:

• Arrange the polynomials in the descending order and set up in the form of a long division.

• Divide the first term of the dividend (x³) by the first term of the divisor (x). Write the quotient above x³.

• Multiply the divisor (x - 2) by the quotient x² and write the product below the dividend. Then, subtract as in ordinary division.

• Now, the remainder is the new dividend. Divide the first term of the remainder -x² by x. Write the quotient -x above.

• Multiply (x - 2) with -x and subtract.

• Now, the remainder (3x - 3) is the dividend. Divide the first term of it 3x by x and write 3 above the quotient and subtract.

• We got the quotient as x² - x + 3 and remainder as 3.

Hence, we got the required answer!