How do you factor by grouping: $x^{3} + 4 x^{2} + 3 x + 12$ $x^3 +4x^2 +3x+12$ ?

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How do you factor by grouping: $x^{3} + 4 x^{2} + 3 x + 12$ $x^3 +4x^2 +3x+12$ ?

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Answer 1 · 2018-05-26T20:33:09

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

Explanation:

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

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

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

$x^{3} + 4 x^{2} + 3 x + 12 = (x + 4) (x^{2} + 3)$ $x^3+4x^2+3x+12=(x+4)(x^2+3)$

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How do you factor by grouping: $x^{3} + 4 x^{2} + 3 x + 12$ $x^3 +4x^2 +3x+12$ ?

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How do you factor by grouping: x3+4x2+3x+12x^3 +4x^2 +3x+12?

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How do you factor by grouping: $x^{3} + 4 x^{2} + 3 x + 12$ $x^3 +4x^2 +3x+12$ ?