Question

16. Find the quadratic polynomial, the sum of whose zeros is
product is 1. Hence, find the zeros of the polynomial.​

Answer 1

Answer:

Given :-

a+b=25

a b=1

P(x)=x2-( a+b ) x+a b

P(x)=x2-25x+1

=2 x2-5x+2

P(x)=0

2 x2-5x+2=0

2 x2-4 x-x+2=0

2 x ( x)-2 )-1(x-2 )=0

( 2 x-1)(x-2 )=0

2 x-1=0  & x-2=0

x=21  & x=2 are zeros of P(x)