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If one of the zeroes of the cubic polynomial x3 + ax² + bx + c is -1, then the product of the other two zeroes is

Posted by Sameer Sharma 4 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Divyanshi Saxena 4 years, 1 month ago

Let α,β be the other zeros of the given polynomial x 3 +ax 2 +bx +c Sum of the zeros = coefficient of x 3 −coefficient of x 2 ⇒−1+α+β= 1 −a =−a ⇒α+β=−a+1 (i) Again, (−1)α+αβ+(−1)β= coefficient of x 3 −coefficient of x ⇒−α+αβ−β= 1 b =αβ=b+α+β α+β=−a+1 , from (i)) =b−a+1

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