Question

The degree of the polynomial $x^2-5x^4+\frac{3}{4}{x}^7-73x+5$ is ____

• A. $7$
• B. $\frac{3}{4}$
• C. $4$
• D. $-73$

Answer 1

Answer: (A)

$7$

Given equation is $P\left(x\right)=x^2-5x^4+\frac{3}{4}{x}^7-73x+5$

We know that, the degree of a polynomial is the highest power of its variables when the polynomial is expressed in its canonical form consisting of a linear combination of monomials.

In the given equation, $7$ is the highest power

Then, the degree of polynomial $P\left(x\right)$ is $7$.