Chapter 11.4, Problem 82SR

To determine

To calculate: To find the degree of the polynomial

Answer to Problem 82SR

The degree of polynomial is $4$

Explanation of Solution

Given information: Polynomials is $3d^4+5d^3-4c^2+1$

Formula Used:

Degree of polynomial is the largest exponent on one of the variable a polynomial (for a single variable) or the largest sum of exponents on variables in a single term (for a multiple variable)

Calculation:

Polynomial is given as

  $3d^4+5d^3-4c^2+1$

Number of terms in polynomial are $4$

Sum of exponent on first term $=4$

Sum of exponent on second term $=3$

Sum of exponent on third term $=2$

Sum of exponent on fourth term $=0$

Thus, degree of polynomial is $4$

Conclusion:

Hence, degree of polynomial is $4$