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How do you factor: $y = 10 x^{3} + 20 x^{2} + x + 2$ $y= 10x^3 + 20x^2 + x + 2$ ?

1 Answer

Alan P. · George C.

Dec 21, 2015

$y = (10 x^{2} + 1) (x + 2)$ $y=(10x^2+1)(x+2)$

Explanation:

Given
$XXX y = 10 x^{3} + 20 x^{2} + 2 x + 2$ $color(white)("XXX")y=10x^3+20x^2+2x+2$

Comparing the first two terms with the last two terms on the right side
we see that they have a common factor of $(x + 2)$ $(x+2)$
$y = 10 x^{2} (x + 2) + 1 (x + 2)$ $y=10x^2(x+2)+1(x+2)$

$y = (10 x^{2} + 1) (x + 2)$ $y=(10x^2+1)(x+2)$

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