If you mean the set of all polynomials strictly of degree two then consider:
.
But if the problem is about polynomials of degree at most two, then part a is false.
Part b should be very easy. What have you done?
Hi everyone, I have a question,
I hope some two can help me.
Here tjey are
Let V be the set of all polynomials of degree 2 with the definitions of addidtion and scalar multiplication.
1) Show that V is not a closed under addition.
2) Show that V is closed under scalar multiplication.
Thanks