Question

State the degree of the polynomial $9x^3-7x^2+\frac{5}{3}{\left(\frac{x^2}{2}\right)}^3$

• A. $2$
• B. $3$
• C. $6$
• D. $5$

Answer 1

The correct option is C $6$

As per definition of degree of polynomial is in case of a polynomial in one variable, the highest power of the variable is called the degree of the polynomial.
In expression given $9x^3-7x^2+\frac{5}{3}{\left(\frac{x^2}{2}\right)}^3$

=$9x^3-7x^2+\frac{5}{3}\times \left(\frac{x^6}{8}\right)$

=$9x^3-7x^2+\frac{5}{24}{x}^6$

Then as per definition, the highest power of expression is $6$

Thus, the degree is $6$.