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Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial)

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Consider `(7x^2 + 14x) ÷ (x + 2)`
We shall factorise `(7x^2 + 14x)` first to check and match factors with the denominator:  
`7x^2 + 14x = (7 × x × x) + (2 × 7 × x)` 

`= 7 × x × (x + 2) = 7x(x + 2)`

Now `(7x^2 + 14x) ÷ (x + 2) = (7x^2 + 14x)/(x + 2)`

`(7x(x + 2))/(x + 2)` = 7x  ...(Cancelling the factors (x + 2))

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