Question

If one zero of the quadratic polynomial ax2 +
bx + ci s cube of the other then the value of
the sum of the cubes of both the zeroes is​

Answer 1

Answer:

Let α,β be the other zeros of the given polynomial x3+ax2+bx2+c

Sum of the zeros =coefficient of x3−coefficient of x2

⇒−1+α+β=1−a=−a

⇒α+β=−a+1 (i)

Again,

(−1)α+αβ+(−1)β=coefficient of x3−coefficient of x

⇒−α+αβ−β=1b

=αβ=b+α+β   

α+β=−a+1 , from (i))

=b−a+1