4. Find the cubic polynomial for the zeroes 4,-2 and
1/2
Answers
Answer:
Let , alpha = 4 beta = -2 and gama = 1/2
Sum of zeroes = alpha + beta + gama
= 4 - 2 + 1/2
= 2 + 1/2
= (4+1)/2
= 5/2
Product of zeroes = alpha x beta x gama
= 4 x -2 x 1/2
= 4 x -1
= -4
General form of cubic polynomial = x^3 - (sum of zeroes)x + (product of zeroes)
Required polynomial = x^3 - 5/2 -4
= (2x^3 - 5 - 8)/2
= (2x^3 - 13)/2
= k [2x^3 - 13] , where k = 1/2
Polynomial = 2x^3 - 13
Hope this helps you......................................
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