What is the leading coefficient in the polynomial f(x)=-5x^3+2x^6+7x-2x^5+1 2 -5 -2 7

## Step 1: Arrange the polynomial in descending order of exponents.<br />### The given polynomial is $f(x)=-5x^{3}+2x^{6}+7x-2x^{5}+1$. Arranging the terms in descending order of exponents gives $f(x) = 2x^6 - 2x^5 - 5x^3 + 7x + 1$.<br /><br />## Step 2: Identify the leading term.<br />### The leading term is the term with the highest exponent. In the rearranged polynomial $f(x) = 2x^6 - 2x^5 - 5x^3 + 7x + 1$, the term with the highest exponent is $2x^6$.<br /><br />## Step 3: Identify the leading coefficient.<br />### The leading coefficient is the coefficient of the leading term. In the leading term $2x^6$, the coefficient is 2.