Solving for p and q in px^3 + qx^2 - 3x - 7

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To solve for p and q in the polynomial px^3 + qx^2 - 3x - 7, given that (x-1) and (x+1) are factors, one must use the fact that f(1) = 0 and f(-1) = 0. This leads to two simultaneous equations that can be derived by substituting x = 1 and x = -1 into the polynomial. The equations will help determine the values of p and q. The discussion highlights the importance of understanding how to apply the factor theorem in polynomial equations. Assistance is sought for guidance on starting the problem.
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Homework Statement


Given that (x-1) and (x+1) are factors of px^3 + qx^2 - 3x - 7 find the value of of p and q.



Homework Equations


Not sure but I think ou have to solve as simultaneous equations.


The Attempt at a Solution


I am completely lost and have no idea where to start.

Any help would be greatly appreciated. :smile:
 
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Hint: If (x+1) and (x-1) are factors of f(x), then f(-1) = 0 and f(1) = 0.
 

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