Question

Find the degree of the third term of the polynomial expression $3x{y}^3+5xy+9x^2{y}^4+8x^{2}y$ when written in standard form.

• A. $4$
• B. $6$
• C. $2$
• D. $3$

Answer 1

The correct option is D $3$

We are given with a polynomial expression $3x{y}^3+5xy+9x^2{y}^4+8x^{2}y$

The exponent of the term $3x{y}^3=1+3=4$

The exponent of the term $5xy=1+1=2$

The exponent of the term $9x^2{y}^4=2+4=6$

The exponent of the term $8x^{2}y=2+1=3$


The polynomial expression $3x{y}^3+5xy+9x^2{y}^4+8x^{2}y$ in standard form:
$9x^2{y}^4+3x{y}^3+8x^{2}y+5xy$

The third term in the standard form $9x^2{y}^4+3x{y}^3+8x^{2}y+5xy$ is $8x^{2}y$ and the degree of this term is $3$. Therefore, option (d.) is the correct answer.