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Which of the following are fifth degree polynomial functions? Select all that apply.2 answers

Which of the following are fifth degree polynomial functions? Select all that apply-example-1

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The greatest power of the polynomial function is its degree

Since we need the 5th degree, then the greatest power of x must be 5

From the given figure, we can see that the function in answer A is


f(x)=x-x^5

The function has the greatest power of x = 5, then

This function in answer A is in the 5th degree

The function in answer D is


f(x)=(x^2-1)(x^3+x-3)

When we multiply the 2 brackets we will find the greatest power of x will be 5


\begin{gathered} f(x)=x^2(x^3)+x^2(x)+x^2(-3)-1(x^3)-1(x)-1(-3) \\ f(x)=x^5+x^3-3x^2-x^3-x+3 \end{gathered}

Since the greatest power of x is 5, then

The function in answer D is in the 5th degree

The answers are A and D

User Matt Sugden
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