Question

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Answer 1

Answer:

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Answer 2

Answer:

So, dividend = –x3 + 3x2 – 3x + 5 and divisor = –x2 + x – 1.

Division process is shown on the right side.

We stop here since degree (3) = 0 < 2 = degree (–x2 + x – 1).

So, quotient = x – 2, remainder = 3.

Now,

Divisor × Quotient + Remainder

= (–x2 + x – 1) (x – 2) + 3

= –x3 + x2 – x + 2x2 – 2x + 2 + 3

= –x3 + 3x2 – 3x + 5

= Dividend

In this way, the division algorithm is verified.

I hope it help you....