How do you factor $8x^4+x$ ?

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Answer 1 · 2016-07-12T21:44:21

$x(2x+1)(4x^2-2x+1)$

List factors of both terms.

$8x^4 = 8*color(orange)(x)*x*x*x$

$x=color(orange)(x)$

The common factors are just one $color(orange)(x)$ .
So let's pull out one $x$ from the expression.

$color(orange)(x)(8x^3+1)$

We still need to factor $(8x^3+1)$ . Take note that $a^3+b^3 = (a+b)(a^2-ab+b^2)$ .

$x(2x+1)(4x^2-2x+1)$

How do you factor 8x^4+x 8x^4+x ?