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verify that 1,-1and 3 are the zeroes of the cubic polynomials x^3-3x^2+3 and check the relationship between zeroes and the coefficients
Asked by vangasathwikreddy3 | 13 Jul, 2022, 10:50: AM
Expert Answer
Given polynomial is p(x) = x3 + 3x2 - x - 3
Now comma space straight p left parenthesis 1 right parenthesis space equals space 1 cubed plus 3 left parenthesis 1 right parenthesis squared minus 1 plus 3 equals 1 plus 3 minus 1 minus 3 equals 0 straight p left parenthesis negative 1 right parenthesis equals left parenthesis negative 1 right parenthesis cubed plus 3 left parenthesis negative 1 right parenthesis squared minus left parenthesis negative 1 right parenthesis minus 3 equals negative 1 plus 3 plus 1 minus 3 equals 0 straight p left parenthesis 3 right parenthesis equals left parenthesis negative 3 right parenthesis cubed plus 3 left parenthesis negative 3 right parenthesis squared minus left parenthesis negative 3 right parenthesis minus 3 equals negative 27 plus 27 plus 3 minus 3 equals 0 So comma space 1 comma space minus 1 space and space minus 3 space are space the space zeroes space of space the space polynomial space straight p left parenthesis straight x right parenthesis. Also comma space Sum space equals space minus 3 space and space product equals 3 
Answered by Renu Varma | 14 Jul, 2022, 06:37: PM

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