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 .

Solution Steps

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

The polynomial given is:

$$-8 + 3x + 3x^2 - 3x^6$$

• The constant term $-8$ has a degree of $0$.
• The term $3x$ has a degree of $1$.
• The term $3x^2$ has a degree of $2$.
• The term $-3x^6$ has a degree of $6$.

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

Final Answer