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

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Answer 1 · 2017-10-15T00:33:16

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

$x^{3} + 2 x^{2} + x + 2$ $x^3+2x^2+x+2$

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

$= x^{2} (x + 2) + (x + 2)$ $=x^2(x+2)+(x+2)$

$= x^{2} (x + 2) + 1 (x + 2)$ $=x^2(x+2)+1(x+2)$

$= (x^{2} + 1) (x + 2)$ $=(x^2+1)(x+2)$

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