Find the zeros and the corresponding multiplicity of the following polynomials and then draw the graph of the polynomial. (a) f(x) = x5 (x − 1)²(x + 1) (b) g(x) = x² - 2x³ + 2x² - 2x +1 (hint: this polynomial has rational zero. You should first factor it completely)

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A: Given, the polynomial p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-1)   interpolates the first four points in the…

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A: is a factor of .To find other factor.

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A: detailed solution is given below

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A: Since you have posted a multiple question according to guildlines I will solve first  question for…