Home
/
Math
/
What Is the Leading Coefficient in the Polynomial F(x)=-5x^3+2x^6+7x-2x^5+1 2 -5 -2 7

Question

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

Solution

Expert Verified
4.7 (218 Votes)
Leah Master ยท Tutor for 5 years

Answer

### 2

Explanation

## Step 1: Arrange the polynomial in descending order of exponents.### The given polynomial is . Arranging the terms in descending order of exponents gives .## Step 2: Identify the leading term.### The leading term is the term with the highest exponent. In the rearranged polynomial , the term with the highest exponent is .## Step 3: Identify the leading coefficient.### The leading coefficient is the coefficient of the leading term. In the leading term , the coefficient is 2.