Question

If (x+1) and (x-2) are the factors of the expression (2x3-px2+x+q), then the values of P and q are given by

Answer 1

Answer:

p=7, q=10

Step-by-step explanation:

$\: Given \: it \: \\ (x + 1) \: and \: (x - 2) \: are \: the \: factor \\ of \: the \: \: expression \: 2 {x}^{3} - p {x}^{2} + x + q \\Then \:, it \: will \: satisfy \: the \: expression \\ at \: x = - 1 \\ p - q = - 3......(1) \\ at \: x = 2 \\ 4p - q = 18......(2) \\ Solving \: the \: (1) \: and \: (2) \\ p = 7 \:, \: q = 10 \\ \\ Hope \: it \: will \: help \: you$