5 votes
1
The number of polynomial function $f$ of degree $\geq$ 1 satisfying $f(x^{2})=(f(x))^{2}=f(f(x))$ for all real $x$, is$0$$1$$2$infinitely many
0 votes
2
What is the smallest degree of a polynomial with real coefficients and having roots $2\omega, 2+3\omega, 2{\omega}^2, -1-3\omega \text{ and } 2-\omega-{\omega}^2$?[Here $...
0 votes
3
Consider the DFA M :Number of distinct strings of length $3$ such that $\delta(q_{0},w) = q_{0}$$10$$14$$18$$20$