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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: $\frac{3x^{4} – 2x^{3} + x^{2} – 2x^{} + 2}{x^{} – 2}$

Toán Lớp 8: $\frac{3x^{4} – 2x^{3} + x^{2} – 2x^{} + 2}{x^{} – 2}$

Comments ( 2 )

  1. Giải đáp:
    {3x^4 – 2x^3 + x^2 – 2x + 2}/{x – 2}
    = {3x^4 – 6x^3 + 4x^3 – 8x^2 + 9x^2 – 18x + 16x -32 + 34}/{x – 2}
    = {3x^3.(x – 2) + 4x^2.(x – 2) + 9x.(x – 2) + 16.(x – 2) + 34}/{x – 2}
    = {(x – 2).(3x^3 + 4x^2 + 9x + 16) + 34}/{x – 2}
    = (3x^3 + 4x^2 + 9x + 16) + 34
    Vậy 3x^4 – 2x^3 + x^2 – 2x + 2 : x – 2 = 3x^3 + 4x^2 + 9x + 16 dư 34
    ∘ dariana

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     [3x^4 -2x^3 +x^2 -2x+2]/[x-2]
    =[3x^4 -6x^3 +4x^3 -8x^2 +9x^2 -18x +16x -32 +34]/[x-2]
    =[3x^3 (x-2)+4x^2 (x-2) +9x(x-2)+16(x-2)+34]/[x-2]
    =[(x-2)(3x^3 +4x^2 +9x+16)+34 ]/[x-2]
    =3x^3 +4x^2 +9x +16 (dư:34)
    (Bài tham khảo)

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222-9+11+12:2*14+14 = ? ( )