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Using the remainder

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use the remainder theorem to find the remainder when f(x) is divided by x - 3. Then use the factor theorem to determine whether x-3 is a factor of f(x) f(x)=2x^3-10x^2+11x+12

  • Using the remainder -

    Given f(x)=2x^3-10x^2+11x+12
    f(3)=2(3)^3-10(3)^2+11(3)+12 = 9
    because f(3)not equal to 0
    Therefore x-3 is not a factor of f(x)

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