The correct option is D 42
Given equation is
(x2−5x+7)2−(x−2)(x−3)=1⇒(x2−5x+7)2−(x−2)(x−3)−1=0
The given equation will be of form
x4+bx3+cx2+dx+e=0
So, the product of the roots =e
Putting x=0, we get the value of e
e=(7)2−(−2)(−3)−1=42
∴ Product of the roots
=7×6=42