Answer :
To find the constant term of the polynomial
[tex]$$
2x^8 + 3x^6 - 19x^3 + 4x - 13,
$$[/tex]
we need to identify the term that does not include the variable [tex]$x$[/tex].
Step 1: Examine each term in the polynomial:
- The term [tex]$2x^8$[/tex] has a factor of [tex]$x$[/tex] and is not constant.
- The term [tex]$3x^6$[/tex] also has a factor of [tex]$x$[/tex].
- The term [tex]$-19x^3$[/tex] includes [tex]$x$[/tex].
- The term [tex]$4x$[/tex] has [tex]$x$[/tex] as well.
- Finally, the term [tex]$-13$[/tex] does not have any [tex]$x$[/tex], making it the constant term.
Step 2: Therefore, the constant term in the polynomial is
[tex]$$
-13.
$$[/tex]
Thus, the constant of the polynomial is [tex]$\boxed{-13}$[/tex].
[tex]$$
2x^8 + 3x^6 - 19x^3 + 4x - 13,
$$[/tex]
we need to identify the term that does not include the variable [tex]$x$[/tex].
Step 1: Examine each term in the polynomial:
- The term [tex]$2x^8$[/tex] has a factor of [tex]$x$[/tex] and is not constant.
- The term [tex]$3x^6$[/tex] also has a factor of [tex]$x$[/tex].
- The term [tex]$-19x^3$[/tex] includes [tex]$x$[/tex].
- The term [tex]$4x$[/tex] has [tex]$x$[/tex] as well.
- Finally, the term [tex]$-13$[/tex] does not have any [tex]$x$[/tex], making it the constant term.
Step 2: Therefore, the constant term in the polynomial is
[tex]$$
-13.
$$[/tex]
Thus, the constant of the polynomial is [tex]$\boxed{-13}$[/tex].
