Question

If alpha and beta are zeros of the polynomial p(x)= x^2-3x-2 then find out another polynomial whise zeros are alpha+1 and beta+1

Answer 1

Answer:

sum of zeroes

(2 alpha+ 3 beta) + (3 alpha + 2 beta)

2 alpha + 3 beta + 3 alpha + 2 beta

5 alpha+ 5 beta

5( alpha + beta)

5(7/3)

35/3

product of zeroes

( 2 alpha+3beta)( 3 alpha+ 2beta)

6alpha^2+4alphabeta+9alphabeta+6beta^2

6(alpha^2+beta^2)+13alphabeta

6[(alpha+beta)+alphabeta]+13alphabeta

6[(7/3)-2]+13(-2)

6[8/6] -26

8-26

-18

therefore answer is x^2- 35/3x -18