Respuesta :
[tex]\bf \begin{cases}
m=-5\implies &m+5=0\\
m=9\implies &m-9=0
\end{cases}\implies (m+5)(m-9)=\stackrel{original}{polynomial}
\\\\\\
m^2-9m+5m-45=y\implies m^2-4m-45=y[/tex]
Answer:
[tex]y=m^2-4m-45[/tex]
Step-by-step explanation:
An equation has solutions of m = –5 and m = 9
WE are given with the solution. Lets write the solution as factors
When x=a is a solution then factor is (x-a)
[tex]m=-5[/tex] is a solution. change the sign of the solution while writing factor. factor is (m+5)
[tex]m=9[/tex] is a solution, factor is (m-9)
we use the factors to find the equation
[tex]y=(m+5)(m-9)[/tex]
Multiply the factors using FOIL method
[tex]y=m^2-9m+5m-45[/tex]
[tex]y=m^2-4m-45[/tex]
