Question

divide x³ -2x² + 3x -18 by x- 3​

Answer 1

Step-by-step explanation:

Note that the given polynomials are not in standard form. To carry out division, we first write both the dividend and divisor in decreasing orders of their degrees. So, dividend = –x3 + 3x2 – 3x + 5 and divisor = –x2 + x – 1.

Division process is shown above. We stop here since deg(3) = 0 < 2 = deg(–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.

Answer 2

Answer:

See this photo

Step-by-step explanation:

Hope this help.