# How do you factor #2n^4 - 9n^2 +4 = 0#?

##### 2 Answers

#### Answer:

#### Explanation:

Start by noticing that there are no

If we are looking for integer factorisations, we immediately know

Multiply this out:

where

We now known that

So our quadratic factorisation is

Can we factor this further? Yes. The second bracket is a difference of two squares,

The question doesn't ask it, but if we wish to solve this equation, then the four quartic roots are immediately available:

It is good practice to verify that each of these is in fact a solution to the original equation.

#### Answer:

#### Explanation:

Re-Write the given equation as follows:

Step 1: Trying to factor by splitting the middle term

Find two factors of

Step 2: Rewrite the polynomial splitting the middle term using the two factors found in step 1 above,

Pulling out the common factors