Find a cubic polynomial whose zeros are 1/2, 1,-3
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If the zeroes of the cubic polynomial are a, b and c then the cubic polynomial can be found as x3 – (a + b + c)x2 + (ab + bc + ca)x – abc ……(1) Let a = 1/2 , b = 1 and c = –3 Substituting the values in (1), we get x3 – ( 1/2 + 1 − 3)x2 + ( 1/2 − 3 − 3/2 )x – ( −3/2 ) ⇒ x3 – ( −3/2 )x2 – 4x + 3/2 ⇒ 2x3 +3x2 – 8x + 3Read more on Sarthaks.com - https://www.sarthaks.com/128629/find-a-cubic-polynomial-whose-zeroes-are-1-2-1-and-3
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