How do you factor $x^{3} - x^{2} - 4 x + 4$ $x^3 - x^2 -4x + 4$ ?

Question

How do you factor $x^{3} - x^{2} - 4 x + 4$ $x^3 - x^2 -4x + 4$ ?

1 Answer

Impact of this question

28673 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-25T22:59:28

$x^{3} - x^{2} - 4 x + 4 = (x - 2) (x + 2) (x - 1)$ $x^3-x^2-4x+4 = (x-2)(x+2)(x-1)$

Explanation:

This factors by grouping:

$x^{3} - x^{2} - 4 x + 4 = (x^{3} - x^{2}) - (4 x - 4)$ $x^3-x^2-4x+4 = (x^3-x^2)-(4x-4)$

$x^{3} - x^{2} - 4 x + 4 = x^{2} (x - 1) - 4 (x - 1)$ $color(white)(x^3-x^2-4x+4) = x^2(x-1)-4(x-1)$

$x^{3} - x^{2} - 4 x + 4 = (x^{2} - 4) (x - 1)$ $color(white)(x^3-x^2-4x+4) = (x^2-4)(x-1)$

$x^{3} - x^{2} - 4 x + 4 = (x^{2} - 2^{2}) (x - 1)$ $color(white)(x^3-x^2-4x+4) = (x^2-2^2)(x-1)$

$x^{3} - x^{2} - 4 x + 4 = (x - 2) (x + 2) (x - 1)$ $color(white)(x^3-x^2-4x+4) = (x-2)(x+2)(x-1)$

Science

Math

Humanities

... and beyond

How do you factor $x^{3} - x^{2} - 4 x + 4$ $x^3 - x^2 -4x + 4$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor x^3 - x^2 -4x + 4x3−x2−4x+4 x^3 - x^2 -4x + 4?

1 Answer

Explanation:

Related questions

Impact of this question

How do you factor $x^{3} - x^{2} - 4 x + 4$ $x^3 - x^2 -4x + 4$ ?