SOLUTION: Please help me determine the zeroes and their multiplicities. {{{ q(x) = 2x^6 - 14x^4 }}}

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Question 1051853: Please help me determine the zeroes and their multiplicities.
+q%28x%29+=+2x%5E6+-+14x%5E4+
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

%22q%28x%29%22%22%22=%22%222x%5E6+-+14x%5E4+

To find zeroes set it equal to zero,

2x%5E6+-+14x%5E4+%22%22=%22%220

Divide through by 2

x%5E6+-+7x%5E4+%22%22=%22%220

Factor out x4:

x%5E4%28x%5E2+-+7%29+%22%22=%22%220

x%5E4=0, x%5E2-7=0

x=0,  x%5E2=7
         x+=+%22%22+%2B-+sqrt%287%29

The zero 0 has a multiplicity of 4, because it's x4.
The zero sqrt%287%29 has multiplicity 1.
The zero -sqrt%287%29 has multiplicity 1.

Edwin