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

1 Answer
Dec 13, 2015

Answer:

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

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

Explanation:

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)#