Find the zeros of the polynomial function and state the multiplicity of each zero:
So I know that but sense things are squared I'm loosing the picture.
Is it 0 (multiplicity of 2) and (multiplicity of 2)?
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Originally Posted by RBlax Is it 0 (multiplicity of 2) and (multiplicity of 2)? Yup.
I honestly can just see it, but don't know the math that makes it true.
How do I prove this?
Originally Posted by RBlax I honestly can just see it, but don't know the math that makes it true.
How do I prove this? You don't need to do any computation for this problem (other than solving 3x + 5 = 0), you just need to be able to apply the definition of multiplicity.
Your book probably has a definition. Here is one definition:
For a polynomial with root , the multiplicity of is the maximum integer for which divides .
If you wanted to, you could re-express given above as
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