Answer :
The polynomial given is
[tex]$$
7x^6 - 6x^5 + 2x^3 + x - 8.
$$[/tex]
To determine the degree of a polynomial, we look for the highest power of [tex]$x$[/tex]. The exponents in this polynomial are [tex]$6$[/tex], [tex]$5$[/tex], [tex]$3$[/tex], [tex]$1$[/tex], and [tex]$0$[/tex], respectively. Since the highest exponent is [tex]$6$[/tex], the degree of the polynomial is [tex]$6$[/tex].
Thus, the answer is [tex]$\boxed{6}$[/tex].
[tex]$$
7x^6 - 6x^5 + 2x^3 + x - 8.
$$[/tex]
To determine the degree of a polynomial, we look for the highest power of [tex]$x$[/tex]. The exponents in this polynomial are [tex]$6$[/tex], [tex]$5$[/tex], [tex]$3$[/tex], [tex]$1$[/tex], and [tex]$0$[/tex], respectively. Since the highest exponent is [tex]$6$[/tex], the degree of the polynomial is [tex]$6$[/tex].
Thus, the answer is [tex]$\boxed{6}$[/tex].
