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

Toán Lớp 8: Phân tích đa thức thành nhân tử C1: x^4 – x^3 – 3x^2 – 4x + 2 C2: 2x^4 – 5x^3 + 3x^2 + 4x – 2 C3: 3x^4 + x^3 – 9x^2 – 9x – 2 C4: 2x^5

Toán Lớp 8: Phân tích đa thức thành nhân tử
C1: x^4 – x^3 – 3x^2 – 4x + 2
C2: 2x^4 – 5x^3 + 3x^2 + 4x – 2
C3: 3x^4 + x^3 – 9x^2 – 9x – 2
C4: 2x^5 – 3x^4 + 7x^3 – 4x^2 + x – 3
C5: 6x^2 – 5xy – x – 6y^2 – 4y – 2
C6: 3x^2 -5xy – 10x + 2y^2 +7y + 3

Comments ( 2 )

  1. Giải đáp:
    ↓↓
    Lời giải và giải thích chi tiết:
    C1:
    x^4-x^3-3x^2-4x+2
    =x^2(x2+2x+2)-3x(x^2+2x+2)+(x^2+2x+2)
    =(x^2-3x+1)(x^2+2x+2)
    C2:
    2x^4-5x^3+3x^2+4x-2
    =2x^4-2x^3-3x^3+3x^2+2x-2
    =2x^3(x-1)-3x^2(x-1)+2(x-1)
    =(x-1)(2x^3-3x^2+2)
    C3:
    3x^4+x^3-9x^2-3x-6x-2
    =x^3(3x+1)-3x(3x+1)-2(3x+1)
    =(3x+1)(x^3+x^2-x^2-x-2x-2)
    =(3x+1)[(x+1)x^2-x(x+1)-2(x+1)]
    =(3x-1)(x+1)(x^2+x-2x-2)
    =(3x-1)(x+1)^2(x-2)
    C4:
    2x^5 – 3x^4 + 7x^3 – 4x^2 + x – 3
    =(2x^4-x^3+6x^2+2x+3)(x-1)
    C5:
    6x^2 – 5xy – x – 6y^2 – 4y – 2
    =3x(2x+y)−4y(2x+y)
    =(2x+y)(3x−4y)
    C6:
    3x^2 -5xy – 10x + 2y^2 +7y + 3
    =(x-y+3)(2y-3x+1)

  2. Giải đáp+Lời giải và giải thích chi tiết:
    C1: x^4 – x^3 – 3x^2 – 4x + 2
    =x^2(x^2 + 2x + 2) – 3x(x^2 + 2x + 2) + (x^2 + 2x + 2)
    =(x^2 – 3x + 1)(x^2 + 2x + 2)
    C2: 2x^4 – 5x^3 + 3x^2 + 4x – 2
    = 2x^4 – 2x^3 – 3x^3 + 3x^2 + 2x – 2
    = 2x^3(x – 1) – 3x^2(x – 1) + 2(x – 1)
    = (x – 1)(2x^3 – 3x^2 + 2)
    C3: 3x^4+x^3-9x^2-3x-6x-2
    =x^3(3x+1)-3x(3x+1)-2(3x+1)
    =(3x+1)(x^3+x^2-x^2-x-2x-2)
    =(3x+1)[(x+1)x^2-x(x+1)-2(x+1)]
    =(3x-1)(x+1)(x^2+x-2x-2)
    =(3x-1)(x+1)^2(x-2)
    C4: 2x^5 – 3x^4 + 7x^3 – 4x^2 + x – 3
    =(2x^4-x^3+6x^2+2x+3)(x-1)
    C6:3x^2 -5xy – 10x + 2y^2 +7y + 3
    =(x-y+3)(2y-3x+1)

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