Maths

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x^3+a^3

Factor= (x-a)

what is the remaninder when you divide x^3+a^3 by (x-a)?

Please show me your working out

  • Maths -

    I used synthetic division,

    a | 1 0 0 a^3
    ...----------
    .......a a^2 a^3
    ....1 a a^2 2a^3

    I hope it somewhat lined up

    then x^3 + a^3 = (x-a)(x^2 + ax + a^2) + 2a^3

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