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

Toán Lớp 8: phân tich đ thức thnahf nhah tử x^4+ 4x^3- x^2- 16x- 12

Toán Lớp 8: phân tich đ thức thnahf nhah tử
x^4+ 4x^3- x^2- 16x- 12

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    x^4 + 4x^3 – x^2 – 16x – 12
    = x^4 + 6x^3 – 2x^3 + 11x^2 – 12x^2 + 6x – 22x – 12
    = x^4 + 6x^3 + 11x^2 + 6x – 2x^3 – 12x^2 – 22x – 12
    = x(x^3 + 6x^2 + 11x + 6) – 2(x^2 + 6x + 11x + 6)
    = (x – 2)(x^3 + 6x^2 + 11x + 6)
    = (x – 2)(x^3 + x^2 + 5x^2 + 5x + 6x + 6)
    = (x – 2)[(x^2 (x + 1) + 5x(x + 1) + 6(x + 1)]
    = (x – 2)[(x + 1)(x^2 + 5x + 6)]
    = (x – 2)(x + 1)(x^2 + 5x + 6)
    = (x – 2)(x + 1)(x^2 + 2x + 3x + 6)
    = (x – 2)(x + 1)[(x(x + 2) + 3(x + 2)]
    = (x – 2)(x + 1)[(x + 3)(x + 2)]
    = (x – 2)(x + 1)(x + 3)(x + 2)

  2. x^4+4x^3-x^2-16x-12
    =(x^3+3x^2-4x-12)(x+1)
    =(x+3)(x^2-4)(x+1)
    =(x+3)(x^2-2^2)(x+1)
    =(x+3)(x+2)(x-2)(x+1)

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