Question

What is the degree of the expression $5x^3+\frac{4y^7}{y^2}+6?$

• A. $7$
• B. $5$
• C. $3$
• D. None of the above

Answer 1

The correct option is B $5$

$\underset{–}{\text{Need to Find:}}$
Degree of the expression $5x^3+\frac{4y^7}{y^2}+6$

As the given expression is not in standard form, we'll simplify it and express it in standard form first.

$5x^3+\frac{4y^7}{y^2}+6$

$=5x^3+4y^{(7-2)}+6$ $[\because \frac{a^m}{a^n}=a^{(m-n)}]$

$=5x^3+4y^5+6$
Arranging the terms in descending order of their powers

$=4y^5+5x^3+6$

Now, as we know, the largest power of the variable is the degree of the polynomial. Here, the largest power of the variable $\underset{–}{y}$ is $\underset{–}{5}.$ Therefore, degree of the given polynomial is $\underset{–}{5}.$

Hence, option (b.) is the correct choice.