Consider the polynomial equation of, P(x) = 0, where P(x) = a – 2a +a² + 2x- 2. a) Use Descartes rule of sign to determine the number of possible positive and negative roots of P(z) b) What are the possible rational zeros of, P(x),? c) Use Bounds theorem to find the possible maximum and minimum values for the zeroes of P(z). d) Use the Remainder Theorem to find the reminder when P(x) is divided by (x-1+i) Use parts (a) to (d) to write P(x) as a product of a linear factors.

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