Find the value of 'k' if (x - 1) is a factor of f(x) = 2x3 + kx2 - 3x - 2.

Asked by Topperlearning User | 14th Sep, 2017, 02:23: PM

Expert Answer:

left parenthesis straight x space minus space 1 right parenthesis space is space straight a space factor space of space straight f left parenthesis straight x right parenthesis space equals space 2 straight x cubed space plus space kx squared space minus space 3 straight x space minus space 2.
rightwards double arrow straight f left parenthesis 1 right parenthesis space equals space 0
rightwards double arrow 2 left parenthesis 1 right parenthesis cubed space plus space straight k left parenthesis 1 right parenthesis squared space minus space 3 left parenthesis 1 right parenthesis space minus space 2 space equals space 0
rightwards double arrow 2 space plus space straight k space minus space 3 space minus space 2 space equals space 0
rightwards double arrow straight k space minus space 3 space equals space 0
rightwards double arrow space straight k space equals space 3

Answered by  | 14th Sep, 2017, 04:23: PM