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

Toán Lớp 8: B=x^8-100x^7-100x^6-100x^5-100x^4-100x^3-100x^2-100x-100x-1 Tại x = 101 Tính gtbt

Toán Lớp 8: B=x^8-100x^7-100x^6-100x^5-100x^4-100x^3-100x^2-100x-100x-1 Tại x = 101
Tính gtbt

Comments ( 1 )

  1. B=$x^{8}$-100$x^{7}$-100$x^{6}$-100$x^{5}$-100$x^{4}$-100$x^{3}$-100$x^{2}$-100x-1-100x
    ⇒B=$x^{8}$ – 101$x^{7}$ + $x^{7}$ – 101$x^{6}$ + $x^{6}$ – 101$x^{5}$ + $x^{5}$ – 101$x^{4}$ + $x^{4}$ – 101$x^{3}$ + $x^{3}$ – 101$x^{2}$ + $x^{2}$ – 101x + x – 101 +100-100x
    ⇒B=$x^{7}$(x-101) + $x^{6}$(x-101) + $x^{5}$(x-101) + $x^{4}$(x-101) + $x^{3}$(x-101) + $x^{2}$(x-101) + x(x-101) + (x-101) – 100(x-1)
    Thay x=101 vào B ta được
         B=0+0+0+0+0+0+0+0-100×100
    =>B=-10000
    Vậy B=-10000 tại x=101

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