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

What is the degree of the polynomial given below? F(x) = 2x2 - 3x4 +5x-2-example-1
User Adriann
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1 Answer

2 votes

Solution:

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

What is the degree of the polynomial given below? F(x) = 2x2 - 3x4 +5x-2-example-1
User Pattmorter
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6.9k points