Question

Identify the degree of the polynomial $6a^4-a^4{b}^3+a{b}^3+b^4$.

• A. $4$
• B. $3$
• C. $7$
• D. $8$

Answer 1

Answer: (C)

$7$

$6a^4-a^4{b}^3+a{b}^3+b^4$

The degree of each term in polynomial in two variables in the sum of the exponents in each term and the degree of the polynomial is the largest such sum.

Here, the largest sum is $(4+3)=7$ for the term $a^4{b}^3$

$\therefore$ The degree is $7$ for this polynomial.

Hence, the answer is $7.$