x^4 + x^2 + 1=______ factorise this polynomial ​

Question

x^4 + x^2 + 1=______
factorise this polynomial

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Kaylee 2 weeks 2021-09-07T07:36:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-07T07:37:53+00:00

    Answer:

    (x+1/2)(x+1/2)

    Step-by-step explanation:

    x^4+x^2+1

    x^2+x+1

    x^2 + 1/2x + 1/2x + 1

    = (x+1/2)(x+1/2)

    0
    2021-09-07T07:38:08+00:00

    Answer:

    Step-by-step explanation:

    x^4 + x^2 + 1

    _ _ _ _ ( expand this polynomial )

    x^4 + x^2 + 1 = x^4 + x^3 + x^2 − x^3 − x^2 − x + x^2 + x + 1

    => x^2 ( x^2 + x + 1 ) − x ( x^2 + x + 1 ) + ( x^2 + x + 1 )

    => ( x^2 + x + 1 ) ( x^2 − x + 1 )

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