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------------------------------------------------ Koefisien [tex]$x^4$[/tex] pada polinomial [tex]$2x^5 - 4x^4 + 2x^3 + 6x - 9$[/tex] adalah [tex]\ldots[/tex].

Sure! Let's find the coefficient of [tex]$x^4$[/tex] in the given polynomial [tex]$2x^5 - 4x^4 + 2x^3 + 6x - 9$[/tex].

To do this, we need to identify the term in the polynomial that contains [tex]$x^4$[/tex] and then determine its coefficient.

1. Write down the polynomial:
[tex]\[
2x^5 - 4x^4 + 2x^3 + 6x - 9
\][/tex]

2. Look at each term in the polynomial to find the term that has [tex]$x^4$[/tex]:
- The first term is [tex]$2x^5$[/tex], which has [tex]$x^5$[/tex].
- The second term is [tex]$-4x^4$[/tex], which has [tex]$x^4$[/tex].
- The third term is [tex]$2x^3$[/tex], which has [tex]$x^3$[/tex].
- The fourth term is [tex]$6x$[/tex], which has [tex]$x$[/tex].
- The fifth term is [tex]$-9$[/tex], which is a constant.

3. The term that includes [tex]$x^4$[/tex] is [tex]$-4x^4$[/tex].

4. The coefficient of [tex]$x^4$[/tex] in [tex]$-4x^4$[/tex] is [tex]$-4$[/tex].

Therefore, the coefficient of [tex]$x^4$[/tex] in the polynomial [tex]$2x^5 - 4x^4 + 2x^3 + 6x - 9$[/tex] is [tex]$-4$[/tex].