Phân tích đa thức thành nhân tử: x^4 + 2019x^2 + 2018x + 2019

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Phân tích đa thức thành nhân tử:
x^4 + 2019x^2 + 2018x + 2019

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    Đáp án+Giải thích các bước giải:

    `x^4 + 2019^2 + 2018x + 2019`

    `= x^4 + x^3 + x^2 – x^3 – x^2 – x + 2019x^2 + 2019x + 2019`

    `= x^2. ( x^2 + x + 1 ) – x^3 – x^2 – x + 2019. ( x^2 + x + 1 )`

    `= x^2. ( x^2 + x + 1 ) – ( x^3 – x^2 – x ) + 2019. ( x^2 + x + 1 )`

    `= x^2. ( x^2 + x + 1 ) – x. ( x^2 – x + 1 ) + 2019. ( x^2 + x + 1 )`

    `= ( x^2 – x + 2019 ). ( x^2 + x + 1 )`.

     

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