Find a cubic polynomial whose zeos are 2,-3 and4
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General Form of cubic polynomial whose zeroes are a. b and c is :
x
3
−(a+b+c)x
2
+(ab+bc+ca)x−abc..........(1)
To find : cubic polynomial whose zeroes are 2,−3 and 4
Let us say , a=2,b=−3 and c=4
Putting the values of a, b and c in equation (1) we get :
=x
3
−(2−3+4)x
2
+(−6−12+8)x−(−24)
=x
3
−3x
2
−10x+24
which is required polynomial.
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