Question

Is it possible to write a trinomial with degree 0?
Explain.

Thank you

Answer 1

0x^2 +0x +6

That would reduce to 6
This term has degree 0 because the degree refers to the x^0 and x to the zero power is just 1 so if I had 6x^0, then I really have 6(1) = 6

Since all of the terms in the original trinomial cancelled out due to the zero in the coeffient, we are really left with a monomial of degree zero.

Really, it isn't a trinomial, but I don't know what the teacher might be thinking.

If the question said, can we have a polynomial of degree zero, I would feel sure to say yes. This is because polynomial is a general term for monomial, binomial, trinomial, etc.