If (px3 - 8x2 - qx + 1), the expression is completely divisible by th…

Question

If (px3 - 8x2 - qx + 1), the expression is completely divisible by the expression (3x2 - 4x + 1). Then what will be the value of p and q respectively?

Accepted Answer

Option C. ( 334,\,5/4 ). Answer & Solution Answer: Option C Solution: & 3x^2 - 4x + 1 = 0 & 3x^2 - 3x - x + 1 = 0 & ( 3x - 1 ) ( x - 1 ) = 0 & 3x - 1 = 0,\,\,x - 1 = 0 & x = 1,\,1/3 & Put x = 1 in px^3 - 8x^2 - qx + 1 & p - 8 - q + 1 = 0 & p - q = 7 & Go through the option C & p = 334,\,q = 5/4 & 33 - 5…