# Dividing a Polynomial by a Polynomial:

In the case of divisions of algebraic expression, we have Dividend = Divisor × Quotient. In general, however, the relation is Dividend = Divisor × Quotient + Remainder Thus, we have considered in the present chapter only those divisions in which the remainder is zero.

Consider (7x2 + 14x) ÷ (x + 2)
We shall factorise (7x2 + 14x) first to check and match factors with the denominator:
7x2 + 14x = (7 xx x xx x) + (2 xx 7 xx x)

= 7 xx x xx (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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