How do you factor $x^{3} + 6 x^{2} + 5 x + 30$ $x^3+6x^2+5x+30$ by grouping?

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Answer 1 · 2016-09-01T22:51:07

$(x + 6) (x^{2} + 5)$ $(x+6)(x^2 +5)$

There are 4 terms and no common factor in all of them.

Make common factors by grouping in pairs - make sure there is a + between the groups,

$x^{3} + 6 x^{2} + 5 x + 30 = (x^{3} + 6 x^{2}) + (5 x + 30)$ $x^3 +6x^2 +5x+30 " = " (x^3 +6x^2) +(5x+30)$

= $x^{2} (x + 6) + 5 (x + 6) \leftarrow$ $x^2(x +6) + 5(x +6) larr" "$ there is a common bracket.

$(x + 6) (x^{2} + 5)$ $(x+6)(x^2 +5)$

How do you factor x^3+6x^2+5x+30x3+6x2+5x+30x^3+6x^2+5x+30 by grouping?