Question: suppose f(x) = a (x-2) 3 (x+1) 2 The zeros of the above function are 2 with multiplicity 3 and -1 with multiplicity 2 1-

suppose f(x) = a (x-2)3 (x+1)2

The zeros of the above function are 2 with multiplicity 3 and -1 with multiplicity 2

1- would the zeros for above f(x) and their multiplicity remain the same as we change value of a? yes or no, and why?

2- find the value of a when f(1)=8

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