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

Toán Lớp 8: pt đa thức thành nhân tử :a, 2x^5-3x^4+6x^3-8x^2+3 b,x^5-5x^4+4x^3+4x^2-5x+1

Toán Lớp 8: pt đa thức thành nhân tử :a, 2x^5-3x^4+6x^3-8x^2+3
b,x^5-5x^4+4x^3+4x^2-5x+1

Comments ( 1 )

  1. a)
    2x^5 – 3x^4 + 6x^3 – 8x^2 + 3
    = 2x^5 – 2x^4 – x^4 + x^3 + 5x^3 – 5x^2 – 3x^2 + 3x – 3x + 3
    = 2x^4(x – 1) – x^3(x – 1) + 5x^2(x – 1) – 3x(x – 1) – 3(x – 1)
    = (x – 1)(2x^4 – x^3 + 5x^2 – 3x – 3)
    b)
    x^5 – 5x^4 + 4x^3 + 4x^2 – 5x + 1
    = x^5 – x^4 – 4x^4 + 4x^3 + 4x^2 – 4x – x + 1
    = x^4(x – 1) – 4x^3(x – 1) + 4x(x – 1) – (x – 1)
    = (x – 1)(x^4 – 1 – 4x^3 + 4x)
    = (x – 1)[(x^2 – 1)(x^2 + 1) – 4x(x^2 – 1)]
    = (x^2 – 1)(x – 1)(x^2 + 1 – 4x)
    = (x – 1)^2(x + 1)(x^2 – 4x + 1)

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