# How do you divide #(15x^2 + 22x + 8)/( 5x + 4)#?

##### 1 Answer

There is a slight problem with this. Look at the footnote in the explanation.

#### Explanation:

Method 1: See if you can factorise the numerator such that it cancels out part of the denominator

Method 2: Long division.

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Factors of 15 -> {1,15} ; {3,5}

Factors of 8 -> {1,8} ; {2,4}

Attempt No 1: For this to work we need

Using our list of factors this would give us:

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This works so we have:

But

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However, you have to be mindful of the fact that division by 0 is 'not allowed' in mathematics (Undefined). Thus there is a value of x where