(2x^4-5x^3+2x^2+2x-1):(x^2-x-1)

2 bình luận về “(2x^4-5x^3+2x^2+2x-1):(x^2-x-1)”

1. (2x^4-5x^3+2x^2+2x-1):(x^2-x-1)

   =2x^4-2x^3-2x^2-3x^3+3x^2+3x+x^2-x-1

   =2x^2(x^2-x-1)-3x^2(x^2-x-1)+(x^2-x-1)

   =(x^2-x-1)(2x^2-3x+1)

   Trả lời
2. (2x^4 – 5x^3 + 2x^2 + 2x – 1) : (x^2 – x – 1)

   = (2x^4 – 2x^3 – 2x^2 – 3x^3 + 3x^2 + 3x + x^2 – x – 1) : (x^2 – x – 1)

   = [2x^2 (x^2 – x – 1) – 3x(x^2 – x – 1) + (x^2 – x – 1)] : (x^2 – x – 1)

   = (x^2 – x – 1)(2x^2 – 3x + 1) : (x^2 – x – 1)

   = 2x^2 – 3x + 1

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