Question
If the expression (px3 Â + x2 Â -
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 Â + (1)2 Â - 2(1) - q = 0 p - q = 1 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â - Â Â Â I And p(-1)3 Â + (- 1)2 Â - 2 (-1) - q = 0 p + q = 3 Â Â Â Â Â Â Â - Â Â Â II on solving equ. I & II, we get, p = 2, q = 1
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