# How do you divide #(18x^4+9x^3+3x^2)/(3x^2+1)# using synthetic division?

##### 1 Answer

#### Answer:

#### Explanation:

Synthetic division is more commonly used with linear divisors and especially with monic linear divisors. It *is* possible to use a form of it with divisors of degree

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#3color(white)(00)0color(white)(00)1color(white)(0)")"color(white)(00)18color(white)(000)9color(white)(00-)3color(white)(00-)0color(white)(00-)0#

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#color(white)(30000010")"0000000)9color(white)(00)-3color(white)(00-)0#

#color(white)(30000010")"0000000)underline(9color(white)(00-)0color(white)(00-)3)#

#color(white)(30000010")"0000000900)-3color(white)(00)-3color(white)(00-)0#

#color(white)(30000010")"000000090)underline(color(white)(0)-3color(white)(00-)0color(white)(00)-1)#

#color(white)(30000010")"0000000900-300)-3color(white)(00-)1#

The first important thing to note is the inclusion of

The actual process of long division is similar to long division of numbers.

In our example, we arrive at a quotient