Question

if p and q are the roots of the quadratic polynomial x^2-5x+4 ,find the values of p^2 q and q^2 p

Answer 1

polynomial are given = x2 - 5x + 4 .

p + p = 5 ....(1) - ( coff. of x / coff. of x2 )
and ,
pq = 4 ( constant term / coff. of x2 )


( p- q ) 2 = ( p+ q ) 2 - 4 pq

we find p - q = 3 . ----- ( 2 )

From 1 st and 2 nd equation we get value of p and q 4 & 1 respectively .

Now Find p2 q =( 4)2 × 1 = 16.

q 2 p = 1 × 4 = 4 .

i hope u understand .... :-) ☺☺