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# Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial)

#### notes

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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Divison of Polynomials [00:08:13]
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