A polynomial is a mathematical formula that involves the addition of powers in one or more variables, each multiplied by a specific coefficient. To ascertain if an expression falls into the category of a polynomial, ensure that it only encompasses constants, variables, positive integer exponents, alongside the operations of addition, subtraction, and multiplication. Expressions with division by a variable or those containing negative or decimal exponents are not deemed as polynomials.
| Topic | Problem | Solution |
|---|---|---|
| None | Suppose that $f(x)=-x^{3}+9 x^{2}-20 x$. a. What … | The leading term of a polynomial is the term with the highest degree. |
| None | Complete the sentence below. If $7+5 i$ is a zero… | The complex roots of a polynomial with real coefficients always come in conjugate pairs. This is be… |
| None | $f$ is a polynomial function of degree 42 : The g… | Let $f$ be a polynomial function of degree 42. |