Consider the polynomial 6x-7x^3-2x^5 e) Write the polynomia in standard form: f) How many terms are in the polynomial? __ so it is called a __ g) What is the degree of the polynomial? __ __ __ h) What is the leading coefficient? because __

) To write the polynomial in standard form, we need to arrange the terms in descending order of their exponents. The polynomial given is $6x-7x^{3}-2x^{5}$. Rearranging the terms, we get $-2x^{5}-7x^{3}+6x$.<br /><br />f) The polynomial $-2x^{5}-7x^{3}+6x$ has three terms: $-2x^{5}$, $-7x^{3}$, and $6x$. Therefore, it is called a trinomial.<br /><br />g) The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent is 5, so the degree of the polynomial is 5.<br /><br />h) The leading coefficient is the coefficient of the term with the highest degree. In this polynomial, the term with the highest degree is $-2x^{5}$, so the leading coefficient is -2.