How many points does graph of function touch


Consider h(x)=4(X-7)5(X+2)8(X+3)(X2 + X+1)

I) Find how many complex zeros does h(x) (counting multilicity)

ii) At how many points does graph of h(x) touch, but not cross, x axis? Write does croosings.

iii) Does h(x) have the maximum,minimum,or neither?

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Mathematics: How many points does graph of function touch
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