Question

Divide 36(x+4) ( x 2+7x+ 10)÷ 9 (x+4).​

Answer 1

We divide the given polynomial 36(x+4)(x

2

+7x+10) by 9(x+4) as shown below:

9(x+4)

36(x+4)(x

2

+7x+10)

=

9

36

×

(x+4)

(x+4)(x

2

+7x+10)

=

3×3

2×2×3×3

×(x

2

+7x+10)

=4(x

2

+7x+10)

Hence,

9(x+4)

36(x+4)(x

2

+7x+10)

=4(x

2

+7x+10).