Class 8 Maths Factorisation Division of Algebraic Expressions Continued (Polynomial ÷ P

Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial)

Let us take an example.

Ex: Divide (x2 + 7x + 10) by (x + 5)

Answer:

First, we factorize (x2 + 7x + 10) to check and match factors with the denominator:

x2 + 7x + 10 = x2 + 5x + 2x + 10

                      = x(x + 5) + 2(x + 5)

                      = (x + 5)(x + 2)

Now, (x2 + 7x + 10)/(x + 5) = {(x + 5)(x + 2)}/(x + 2)

                                                 = (x + 5)        [Cancel the factor (x + 2)]

Ex: Divide 10y(6y + 21) by 5(2y + 7)

Factorize 10y(6y + 21), we get

10y(6y + 21) = 2 * 5 * y * (2 * 3 * y + 3 * 7)

                      = 2 * 5 * y * 3 * (2 * y + 7)

                      = 30y(2y + 7)

Now, {10y(6y + 21)}/{5(2y + 7)} = {30y(2y + 7)}/{5(2y + 7)}

                                                         = 30y/5       [Cancel the factor (2y + 7)]

                                                         = 6y      

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