find a cubic polynomial whose zeroes are 2,3and4
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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 ……( ...
Let a = 2, b = –3 and c = 4.
Substituting the values in 1, we get.
x3 – (2 – 3 + 4)x2 + (– 6 – 12 + 8)x – (–24)
⇒ x3 – 3x2 – 10x + 24.
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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 – ab
.(1) Let a = 2, b = –3 and c = 4 Substituting the values in 1, we get x3 – (2 – 3 + 4)x2 + (– 6 – 12 + 8)x – (–24) ⇒ x3 – 3x2 – 10x + 24Read more on Sarthaks.com - https://www.sarthaks.com/128619/find-a-cubic-polynomial-whose-zeroes-are-2-3-and-4.
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