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

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Answer 1 · 2015-12-13T01:29:59

$(x - \sqrt{7}) (x + \sqrt{7}) (x + 5)$ $(x-sqrt7)(x+sqrt7)(x+5) " "$ or

$(x^{2} - 7)) (x + 5)$ $(x^2-7))(x+5)$

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

$(x^{3} + 5 x^{2}) + (- 7 x - 35)$ $(x^3+5x^2) + (-7x -35)$

Factor out the greatest common factor of each group

$x^{2} (x + 5) - 7 (x + 5)$ $color(red)(x^2)(x+5) color(red)(-7)(x+5)$

What is the common factor of he expression?

$\Rightarrow (x^{2} - 7) (x + 5)$ $=>color(red)((x^2-7))(x+5)$ You may leave the answer like this

Or like this....(because difference of square)
$\Rightarrow (x - \sqrt{7}) (x + \sqrt{7}) (x + 5)$ $=>(x-sqrt7)(x+sqrt7)(x+5)$

How do you factor the expression x3+5x2−7x−35x^3 + 5x^2 - 7x -35?