How do you put f(x)=x (x-4)^2 (x-8)(x^2+4) in standard form? This is in factored form by the way.

A polynomial is in standard form if it is written as follows:

The term with the highest degree comes first and is followed by the other terms in the order of decreasing powers of the variable.

To express the function

in standard form, let's first expand repeated factor.

The expanded form of the repeated factor is:

The function becomes:

...

A polynomial is in standard form if it is written as follows:

The term with the highest degree comes first and is followed by the other terms in the order of decreasing powers of the variable.

To express the function

in standard form, let's first expand repeated factor.

The expanded form of the repeated factor is:

The function becomes:

Then, multiply the factors. Let's start with the factors at the left.

The function transforms to three factors.

Then, multiply (x^3-8x^2+16x) with (x-8).

 

   

 

f(x) is reduced to two factors.

Multiply these two factors.

  
 
 

The function is now converted to standard form.

Therefore the standard form of

is

.