How do you factor $2x^4 - 3x$ ?

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Answer 1 · 2018-03-10T18:01:47

$x~~1.1447$

Whatever two terms have in common, we can factor that out. In our case, both terms have an $x$ in common, so we can factor one out to get:

$x(2x^3-3)=0$

If the product of two things is zero, one or both of them have to be equal to zero. Setting both terms equal to zero, we get:

$x=0$ , which is outright one of our zeros

$2x^3-3=0$

We can add $3$ to both sides to get:

$2x^3=3$

Next, we can divide both sides by $2$ to get:

$x^3=3/2$

To isolate $x$ , we can take the cube root of both sides to get:

$x=root(3)(3/2)$

And we can evaluate this with a calculator to get:

$x~~1.1447$

How do you factor 2x^4 - 3x 2x^4 - 3x ?