Question

divide 3x2-x3-3x+5 by x-1-x2 and verify the division algorithm​

Answer 1

Answer:

Let f(x) = 3x² - x³ - 3x + 5 and g(x) = x - 1 - x²

Long Division Method:

-x² + x - 1) -x³ + 3x² - 3x + 5(x - 2

-x³ +  x²  - x

  2x² -  2x  +  5

 2x²  -  2x  +  2

= 3

Verification:

Dividend = Divisor * Quotient + Remainder

= (-x² + x - 1) - (x - 2) + 3

= -x³ + x² - x +  2x² - 2x + 2 + 3

= 3x² - x³ - 3x + 5

Step-by-step explanation:

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Answer 2

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In Attachment..