Divide 2x² + 17x + 35 by x + 5.

Solution:

Let us factorise the given expression: 

2x² + 17x + 35 and then divide by x + 5,

By using the factors of 70 we have,

2x² + 17x + 35

2x² + 10x + 7x + 35

2x(x + 5) + 7(x + 5)

(2x + 7)(x + 5)

Therefore by dividing (2x + 7)(x + 5) by (x + 5) , we get (2x + 7)

Divide 2x² + 17x + 35 by x + 5.

Summary:

Dividing 2x² + 17x + 35 by x + 5 we get (2x + 7)