Questions: Give the degree of the polynomial. -8+3 x+3 x^2-3 x^6 The degree of -8+3 x+3 x^2-3 x^6 is .

Transcript text: Give the degree of the polynomial. \[ -8+3 x+3 x^{2}-3 x^{6} \] The degree of $-8+3 x+3 x^{2}-3 x^{6}$ is $\square$.

Solution

To find the degree of a polynomial, identify the term with the highest power of $ x $. The degree is the exponent of that term.

Step 1: Identify the Terms of the Polynomial

The polynomial given is:

\[ -8 + 3x + 3x^2 - 3x^6 \]

Step 2: Determine the Degree of Each Term

Step 3: Find the Maximum Degree

The degree of the polynomial is the highest degree among its terms. Here, the highest degree is $6$.

The degree of the polynomial $-8 + 3x + 3x^2 - 3x^6$ is $\boxed{6}$.

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