Question

Find the degree of the polynomial expression $7x^5+2x^4+6x^8$.

• A. $6$
• B. $5$
• C. $4$
• D. $8$

Answer 1

The correct option is D $8$

We are given with a polynomial expression $7x^5+2x^4+6x^8$.

In the first term of the polynomial $7x^5+2x^4+6x^8$, i.e., $7x^5$, the power of the variable $x$ is $5$.

In the second term of the polynomial $7x^5+2x^4+6x^8$, i.e., $2x^4$, the power of the variable $x$ is $4$.

In the third term of the polynomial $7x^5+2x^4+6x^8$, i.e., $6x^8$, the power of the variable $x$ is $8$.


The highest power of the variable $x$ in the polynomial $7x^5+2x^4+6x^8$ is $8$. Hence, the degree of the polynomial $7x^5+2x^4+6x^8$ is $8$.

Therefore, option (d.) is the correct answer.