How do you factor the expression #x^3 + 5x^2 - 7x -35#?

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Answer 1 · 2015-12-13T01:29:59

#(x-sqrt7)(x+sqrt7)(x+5) " " # or

#(x^2-7))(x+5)#

We can try factor by grouping, since there are four terms.

#(x^3+5x^2) + (-7x -35)#

Factor out the greatest common factor of each group

#color(red)(x^2)(x+5) color(red)(-7)(x+5) #

What is the common factor of he expression?

#=>color(red)((x^2-7))(x+5)# You may leave the answer like this

Or like this....(because difference of square)
#=>(x-sqrt7)(x+sqrt7)(x+5)#