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

1 Answer
Mar 10, 2018

Answer:

#x~~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(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#