Question

form a cubic polynomial whose zeros are 3 2 and -1 and hence find
1) sum of its zero
2) sum of the product taken two at a time
3) product of its zero​

Answer 1

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Answer 2

polynomial will be

(x-3)(x-2)(x+1)

which will be

x^3- 4x^2 +x +6

as zeroes are

3,2,-1

sum =

coefficient of x^2/coefficient of x^3=-(-4)/1=4

sum of products taken two at a time=

coefficient of x/coefficient of x^3

=1/1=1

Product of zeroes=

- constant term/coefficient of x^3

=6/1=6

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