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anonymous

  • 5 years ago

How do i find the zeros and the multiplicity of 3(x+4)(x-7)^(2)

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  1. anonymous
    • 5 years ago
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    If you have your equation in fully factored form (you do) then each variable factor represents a 0 where the power of the factor is the multiplicity. So in this example what are your variable factors?

  2. anonymous
    • 5 years ago
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    4 and -7

  3. anonymous
    • 5 years ago
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    Not quite. Notice that (x+4) = 0 when x = -4. And (x-7) = 0 when x = 7

  4. anonymous
    • 5 years ago
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    What class are you taking?

  5. anonymous
    • 5 years ago
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    so its what ever make the eqations 0

  6. anonymous
    • 5 years ago
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    Yes.

  7. anonymous
    • 5 years ago
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    ok thank you how about the multiplicity

  8. anonymous
    • 5 years ago
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    The multiplicity would be any exponent on the factor. Recall that if a factor has no exponent it's assumed to be raised to the first power. So would have a multiplicity of 1, while a factor squared would be multiplicity 2, etc.

  9. anonymous
    • 5 years ago
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    ok thank you

  10. anonymous
    • 5 years ago
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    The zeroes are -4 and 7. The multiplicity of -4 is 1. The multiplicity of 7 is 2.

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