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

1 Answer
Dec 13, 2015

(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)