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

Mar 10, 2018

$x \approx 1.1447$

#### Explanation:

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:

$x \left(2 {x}^{3} - 3\right) = 0$

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

$2 {x}^{3} - 3 = 0$

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

$2 {x}^{3} = 3$

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

${x}^{3} = \frac{3}{2}$

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

$x = \sqrt[3]{\frac{3}{2}}$

And we can evaluate this with a calculator to get:

$x \approx 1.1447$