Question
If the expression (px3 + x2 -
2x - q) is divisible by (x-1) and (x + 1), what are the values of p and q respectively ?Solution
Putting x = 1, - 1 in the equation, p(1)3 + (1)2 - 2(1) - q = 0 p - q = 1 - I And p(-1)3 + (- 1)2 - 2 (-1) - q = 0 p + q = 3 - II on solving equ. I & II, we get, p = 2, q = 1
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