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Use the remainder theorem

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Use the remainder theorem to find the remainder when f(x) is divided by x+2 whether x+2 is a factor of f(x)
f(x)=2x^6-8x^4+x^2-5
Remainder is=

  • Use the remainder theorem -

    remainder is=f(-2)

    f(-2)=2(-2)^6-8(-2)^4+(-2)^2-5
    =-3

    so (x+2) is not a factor of f(x)

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