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How we will split the middle term of this
3x^2 - 2x - 8 ?
Explain also.

Asked by gayatrivardani2002 12th June 2016, 1:24 AM
Answered by Expert
Answer:
To space split space the space middle space term space of space the space expression space 3 straight x squared space minus space 2 straight x space minus space 8 comma space find space two space numbers space whose space product space is space 3 cross times left parenthesis negative 8 right parenthesis space equals space minus 24 space
and space sum space is space the space coefficient space of space straight x space equals space minus 2
To space find space those space two space numbers comma space find space the space factors space of space 24 comma space and space using space trial space and space error space method comma space find space the space factors space of space 24 space whose space sum space if space minus 2 space
and space product space is space minus 24.
Two space such space numbers space are space minus 6 space and space 4.
So comma space 3 straight x squared space minus space 2 straight x space minus space 8 space equals space 3 straight x squared space minus 6 straight x space plus 4 straight x 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 space equals 3 straight x space left parenthesis straight x space minus space 2 right parenthesis space plus space 4 space left parenthesis straight x space minus space 2 right parenthesis
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 space equals left parenthesis straight x space minus space 2 right parenthesis space left parenthesis 3 straight x plus space 4 right parenthesis
Answered by Expert 13th June 2016, 10:41 AM
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