Answer:
18m³n³
Step-by-step explanation:
The polynomial given is:
[tex]162m^3n^4+45n[/tex]
It has been factored to:
[tex]9n(........... +5 )[/tex]
We want to find the missing term. We see that the 45n has already been factored, so we must focus on the first term: 162m³n⁴
Since we are factoring out a 9n, we can divide the term by 9n.
[tex]\frac{162m^3n^4}{9n}[/tex]
According to the exponent rules, when dividing, we subtract the exponents.
[tex]18m^3\frac{n^4}{n}[/tex]
[tex]n^4-n=n^4-n^1=n^3[/tex]
[tex]18m^3n^3[/tex]
The missing term is 18m³n³.
