If a polynomial 3x^4 + 3x^3 - 14x^2 + PX +q is exactly divisible by 3x^2 - 2, then find the value of p and q
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4x4 - 4x3 - 35x2 + px - q is exactly divisible by 4x2 - 4x + 1.
⇒ The remiander when 4x4 - 4x3 - 35x2 + px - q is divided by 4x2 - 4x + 1 is zero.
Remainder = (p - 36)x + (q - 9)
(p - 36) = 0
⇒ p = 36
(q - 9) = 0
⇒ q = 9
Hence, the values of p and q are 36 and 9
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