1. ## x^2-cosx-x

[0,pi]
i used ivt. But I said if is continuous on [0,pi]
or should I have out f is a polynomial so continuous on [0,pi]?
is this equation considered a polynomial I didn't know if it was not or is . I know a polynomial consists of several terms.

2. ## Re: x^2-cosx-x

Originally Posted by math951
[0,pi]
i used ivt. But I said if is continuous on [0,pi]
or should I have out f is a polynomial so continuous on [0,pi]?
is this equation considered a polynomial I didn't know if it was not or is . I know a polynomial consists of several terms.
what is the question/problem statement?

3. ## Re: x^2-cosx-x

Originally Posted by math951
[0,pi]
i used ivt. But I said if is continuous on [0,pi]
or should I have out f is a polynomial so continuous on [0,pi]?
is this equation considered a polynomial I didn't know if it was not or is . I know a polynomial consists of several terms.
No, this is definitely not a polynomial. A polynomial is several terms, yes, but those terms have to be a number times a non-negative integer power of x.

Now, what is the question? Is it whether or not this function is continuous on 0 to pi? In that case you would need to know that powers of x are continuous for all x, that cosine is continuous for all x, and that sums of continuous functions are continuous. (So are differences, products and divisions as long as the divisor is non-zero.)

4. ## Re: x^2-cosx-x

Is this equation an polynomial? Or is it not. Polynomials have infinity possible answers.