Give the boundary behavior of P(x) = -3(x-2)^7(x^2+3)^5(2x+7)^4. Also, give the zeros of P(x), along with their multiplicity. Explain how the multiplicities determine the behavior of P(x) near the corresponding zeros. Find the y-intercept. Finally, explain in words what the graph of P ( x )would look like using all this information.

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A: Given query is to provide the information about multiplicity of zero and intercept.

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Q: Find the local extrema of the cubic functionf(x)=x3−3x2−9x+2.

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.