Question

What is the quotient for `( x ^ { 3} - 3x ^ { 2} + 5x - 3) \div ( x - 1)`?

Answer 1

`x^2 - 2x - 3`

Explanation:

See image below;

Well, Let me explain

First you write out the Divisor and Dividend

Then You will use the first part of the divisor which in this case is (`x`) to divide with the first part of the dividend which is (`x^3`)

Then you will write the answer which is the Quotient on-top of the square root sign

After than you multiply the Quotient which is (`x^2`) through the Divisor which is (`x-1`)

Then you write the answer which is the Reminder below the Dividend and subtract both equations..

Do that repeatedly until you get the Reminder as `0` or if its not longer Divisible by the Divisor..