Let \(P(x) : (x - 1)(x - 2)(x - 3) \dots\ (x - 50)\)

Let \(Q(x) : (x + 1)(x + 2)(x + 3) \dots\ (x + 50)\)

If \[P(x)Q(x) = a_{100}x^{100} + a_{99}x^{99} + \ldots\ + a_{1}x^1 + a_0,\] then compute \(a_{100} -a_{99} - a_{98} - a_{97}.\)

×

Problem Loading...

Note Loading...

Set Loading...