Question

the condition for a2x4+bx3+cx2+dx+f2 may be perfect square is​

Answer 1

Answer:(b)4a^2c-b^2=8a^3f.....Therefore the correct answer is (b)..

The condition for a2x 4  + bx3  + cx2  + dx + f2  may be  perfect square is

(A) 2a2 c = a3 f

(B) 4a2 c – b2 = 8a3 f

(C) 4a3 c = 8a3 f

(D) None of these

Please mark as the Brainliest Answer...............

Answer 2

Answer:

Correct option is

A

c2=ad

Solution :-

Let - x4+ax3+bx2+cx+d=(x2+px+q)2

=x4+p2x2+q2+2x3p+2pqx+2x2q

Now comparing the coefficient of x3,x2,x and constant 

we get a=2p....(1)

b=p2+2q....(2)

c=2pq....(3)

d=q2....(4)

we get p=2a and q=2pc=2pc by (1) & (3) 

Substituting p & q in (2) & (4) 

b=4a2+a2c