Please find the solution for this cubic polynomial with step by step answers..?

a, b, c are the zeroes of the polynomial x^3 + p1x^2 + p2x + p3. Find a polynomial whose zeroes are a^2, b^2 and c^2.

P.S. The numbers 1, 2, 3 in p1, p2, p3 are subscripts.

Top 1 Answers

A few days ago

blueskies

Favorite Answer

PROBLEM 2:

(x – a^2)(x – b^2)(x – c^2) = 0

(x^2 – xa^2 -xb^2 + a^2 b^2)(x – c^2) = 0

x^3 – x^2 a^2 – x^2 b^2 + xa^2 b^2 – x^2 c^2 + xa^2 c^2

+ x b^2 c^2 – a^2 b^2 c^2 = 0

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