Question

What is the degree of the polynomial given below? F(x) = 2x2 - 3x4 +5x-2

Answer 1

A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial (ignoring the coefficients).

The polynomial is given below as

`f(x)=2x^3-3x^4+5x-2`

Rewrite the polynomial above, we will have

`\begin{gathered} f(x)=2x^3-3x^4+5x-2 \\ f((x)=-3x^4+2x^3+5x-2 \end{gathered}`

From the polynomial,

The leading term is

`-3x^4`

The image below shows a vivid explanation of the degree of a polynomial

Hence,

The degree of the polynomial is

`=4`

Hence,

The final answer is OPTION C