How do you factor by grouping x^3+4x^2+8x+32?

2 Answers
Rhys
May 29, 2018

(x^2 + 8 )(x+4 )

Explanation:

Factor each half of the expression individually first:

=> x^2 color(blue)(( x + 4)) + 8color(blue)( ( x +4))

Hence (x+4) is common in each term, factor this out:

=> color(blue)(( x+4 )) [ x^2 + 8 ]

color(red)(= (x^2 + 8 ) ( x + 4)

In terms of real numbers, this is factorised

Jim G.
May 29, 2018

(x+4)(x^2+8)

Explanation:

=color(red)(x^2)(x+4)color(red)(+8)(x+4)

"take out the "color(blue)"common factor "(x+4)

=(x+4)(color(red)(x^2+8))

x^3+4x^2+8x+32=(x+4)(x^2+8)

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