SOLUTION: given that the remainder when f(x) is divided by (x-1) is equal to the remainder when f(x) is divided by (2x+1). f(x)= px^3 + 6x^2 + 12x + q find the value of p thank you!!!!

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Question 265051: given that the remainder when f(x) is divided by (x-1) is equal to the remainder when f(x) is divided by (2x+1). f(x)= px^3 + 6x^2 + 12x + q
find the value of p
thank you!!!!
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
given that the remainder when f(x) is divided by (x-1) is equal to the remainder when f(x) is divided by (2x+1). f(x)= px^3 + 6x^2 + 12x + q
find the value of p 


The remainder theorem states that the remainder when a polynomial  
is divided by  is .

Therefore the remainder when  is divided by  is , which is

 



Also the remainder when  is divided by , or 
is , which is

 



We are told that these are equal:











Edwin
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