Question

if two zeroes of ax^3+bx^2+cx+d is additive inverse to each other, then the third zero is ___

Answer 1

Third root = - b/a if  two zeroes of ax³ + bx² + cx + d  is additive inverse to each other

Step-by-step explanation:

ax³ + bx² + cx + d

Let say Two zeros which are additive inverse are α & β

α + β  = 0

& Third Zero = γ

Sum of roots = α + β + γ   = - b/a

=> 0 + γ   = - b/a

=> γ   = - b/a

Third root = - b/a

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find the third zero

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