Give the zeros of polynomial P and list their multiplicities : P(x) = -x(- x - 2)^2(x + 2).
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We have the given polynomial as P(x) = -x(- x - 2)2(x + 2)
P(x) = -x(- x - 2)2(x + 2)
=> P(x) = -2x(-x - 2)(x + 2)
=> P(x) = 2x(x + 2)(x + 2)
=> P(x) = 2x(x + 2)^2
The zeros are 0 and -2
Therefore the required zeros are
-2 with multiplicity...
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