SOLUTION: Given that x^2+px+q and 3x^2+q have a common factor x-b, where p,q and b are non-zero, show that 3p^2+4q=0.

Question 1035463: Given that x^2+px+q and 3x^2+q have a common factor x-b, where p,q and b are non-zero, show that 3p^2+4q=0.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Putting in the text here is difficult. Follow this described process, so far still incomplete:

First expression divided by x-b should have remainder of 0, equal to .

Second expression divided by x-b should have also remainder of 0, equal to .

You would do those with polynomial division OR synthetic division. Your choice.

You can equate the two expressions found for the remainder since both are 0.

will give you .....
from which you pick that ------so you have some part of the solution, but not yet the entire solution.

Next, look at the two equations for the remainders.
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