SOLUTION: factor by grouping: 8x^2+18x-35

Algebra.Com
Question 152454: factor by grouping:
8x^2+18x-35

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
factor by grouping:


Multiply the  by the  and get 
Write down all the pairs of factors of its absolute value,
:










Now since the LAST SIGN in 
is MINUS, we SUBTRACT the two 
factors in absolute value:

[Note: If the last term had been PLUS, we 
would have ADDED the two factors in 
absolute value.]










Now we look at the middle term of ,
which is  and we look at the 
list of differences and find the
absolute value of  in the next to
last difference, .

So we substitute  for the 18:




Now we remove the parentheses by distributing:



Factor  out of the first two terms
Factor  out of the last two terms:



Now factor out 



Edwin

RELATED QUESTIONS

factor by grouping:... (answered by checkley77,jim_thompson5910)
factor by grouping: 9x^3 - 54x^2 - 18x^2 +... (answered by vleith)
Factor by grouping... (answered by mananth)
Factor by grouping... (answered by mananth)
factor by grouping:... (answered by checkley77,jsmallt9,MathTherapy)
Factor by grouping... (answered by jim_thompson5910)
factor by grouping x^3 + 5x^2 - 7x... (answered by checkley77)
Factor by grouping {{{6x^2 + 8x - 9x -... (answered by fractalier)
Factor by grouping... (answered by checkley71)