Asked by Topperlearning User | 14th Sep, 2017, 02:24: PM

Expert Answer:

left parenthesis straight i right parenthesis space space left parenthesis straight x space plus space 2 right parenthesis space is space straight a space factor space of space straight p left parenthesis straight x right parenthesis space equals space 3 straight x cubed space minus space 5 straight x squared space minus space 26 straight x space minus space 8 space if space straight p left parenthesis negative 2 right parenthesis space equals space 0
space space space space space space Now comma space straight p left parenthesis negative 2 right parenthesis space equals space 3 left parenthesis negative 2 right parenthesis cubed space minus space 5 left parenthesis negative 2 right parenthesis squared space minus space 26 left parenthesis negative 2 right parenthesis space minus space 8
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 24 space minus space 20 space plus space 52 space minus space 8
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 0
space space space space space space Thus comma space left parenthesis straight x space plus space 2 right parenthesis space is space straight a space factor space of space straight p left parenthesis straight x right parenthesis space equals 3 straight x cubed space minus space 5 straight x squared space minus space 26 straight x space minus space 8. space space

left parenthesis ii right parenthesis space space left parenthesis straight x space minus space 2 right parenthesis space is space straight a space factor space of space straight q left parenthesis straight x right parenthesis space equals space straight x cubed space minus space 2 straight x squared space minus space 5 straight x space plus space 8 space if space straight p left parenthesis 2 right parenthesis space equals space 0
space space space space space space Now comma space straight p left parenthesis 2 right parenthesis space equals space left parenthesis 2 right parenthesis cubed space minus space 2 left parenthesis 2 right parenthesis squared space minus space 5 left parenthesis 2 right parenthesis space plus space 8
space space space space space space space space space space space space space space space space space space space space space space space space equals space 8 space minus space 8 space minus space 10 space plus space 8
space space space space space space space space space space space space space space space space space space space space space space space space equals space minus 2
space space space space space space space space space space space space space space space space space space space space space space space space not equal to space 0
space space space space space space Thus comma space left parenthesis straight x space minus space 2 right parenthesis space is space not space straight a space factor space of space straight p left parenthesis straight x right parenthesis space equals straight x cubed space minus space 2 straight x squared space minus space 5 straight x space plus space 8. space

Answered by  | 14th Sep, 2017, 04:24: PM