SOLUTION: write a polynomial function with rational coefficients so that P(x)= 0. 1.5 and 9 2.-4 and 2i thanks

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Question 552792: write a polynomial function with rational coefficients so that P(x)= 0.
1.5 and 9
2.-4 and 2i
thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1


x=5 or x=9 Start with the given solutions.


x-5=0 or x-9=0 Get everything to one side so that only 0 remains on the right side (for both equations).


%28x-5%29%28x-9%29=0 Use the zero product property to combine the equations.


x%5E2-14x%2B45=0 FOIL out the left side.


So the answer is x%5E2-14x%2B45=0


To check your work, simply solve x%5E2-14x%2B45=0 for x. Doing so will show you that the solutions are x=5 or x=9, which confirm the answer.