Is it possible to write a trinomial with degree 0?
Explain.
Thank you
No, it is not possible to write a trinomial with degree 0. A trinomial is a polynomial expression consisting of three terms. The degree of a polynomial is determined by the highest power of the variable in the expression.
For example, a trinomial like 4x^2 - 2x - 7 has a degree of 2 because the variable x is raised to the highest power of 2. Another example is 3x^3 + 2x^2 - x, which has a degree of 3 because the variable x is raised to the highest power of 3.
In a trinomial with degree 0, the highest power of the variable would be 0, which means the variable would disappear, leaving only a constant term. However, a trinomial must have three terms, so having just a constant term would not fulfill the requirement of a trinomial. Therefore, it is not possible to write a trinomial with degree 0.
No, it is not possible to write a trinomial with a degree of 0. A trinomial is a polynomial expression that consists of three terms. The degree of a polynomial is determined by the highest exponent of the variable in the expression. In a trinomial, the variable can only have exponents of 1, 2, 3, and so on.
A degree 0 polynomial is a constant term, such as 2 or -5, which doesn't involve any variables. So, it has zero exponents. Therefore, a trinomial cannot have a degree of 0 because it needs at least one non-constant term with a variable raised to a positive exponent in order to be considered a trinomial.
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.