Form a cubic polynomial whose zeros are -3 ,2 and 1
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Step-by-step explanation:
Let the zero es be a,b,y
Given zeroes are -3,2,1
Sum of its zeroes :-
a+b+y = -3+2+1
= -1+1
= 1
sum of the product taken two at a time :-
ab + by + ya = -3*2+2*1+1*-3
= -6+2+ -3
= -4 + -3
= -7
product of its zero :-
aby = -3*2*1
= -6
Therefore it's cubic polynomial is x³- (a+b+y)x² + (ab + by + ya) x - (aby)
-1x³ + -7x² + -6x
-1x + x + x + x + -7 x + x + x + -6 x
=0
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