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pre calculus

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Use the remainder theorem to find the remainder when f(x) is divided by x -2. Then use the factor theorem to determine whether x -2 is a factor of f(x)
f(x) = 2x^5 + 6x^4 - x^2 - 7x - 12

  • pre calculus -

    f(2) = 2(32) + 6(16) - 4 - 14 - 12 = 130

    so c-2 is not a factor

    by synthetic division, (hard to show in this format)

    2 | 2 6 0 -1 -7 -12
    ....-------------
    ........4 20 40 78 142
    ....210 20 39 71 130

    I guess I should have done the division first

  • pre calculus -

    Thank you!

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