Divide x^3-3x^2-x+3 by x+1 and verify the division algorithm.​

1 thought on “Divide x^3-3x^2-x+3 by x+1 and verify the division algorithm.​”

1. Answer:

   Step-by-step explanation:

   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

   Hope it helps!

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