Solution:
Ans:- A → p,q ; B → r, s ; C → s ; D → p,q
Consider the multiplication of two quadratic expressions
p(x) = (x2 + ax + c) (x2 + bx + d)
⇒ p(x) = x2+8x3+23x2 + 28x + 12 or ⇒ p(x) = (x + 1) (x+2)2 (x + 3)
⇒ p(x) = (x2 + 4x + 3) (x2 + 4x + 4) or ⇒ p(x) = (x2 + 3x + 2) (x2 + 5x + 6)
So, the ordered solutions for (a , b , c , d) can be
(4, 4,3, 4) ; (4,4, 4,3) ; (3,5,2,6) ; (5,3,6,2)
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