Answer:
[tex]-4\cdot{x^2}-2\cdot{x}+15[/tex]
Step-by-step explanation:
We can look at the terms one by one. We know that to get 5 to 1 we must add -4 so the first term is:
[tex]-4\cdot{x^2}[/tex]
For the x term to go from -3 to -5 we must add -2, so the second term is
[tex]-2\cdot{x}[/tex]
Lastly, to go from -9 to 6 we must add 15. The final polynomial added is:
[tex]-4\cdot{x^2}-2\cdot{x}+15[/tex]