Question

Divide (-3х + 4 + 18х^2 )by (5 + 6x)

Answer 1

The division will be represented as:

`(18x^(2)-3x+4)/(6x+5)=(3x-3)+(19)/(6x+5)`

Explanation:

1) Let's find a number with a variable that multiplied by 6x gives as 18x². It will be 3x, because (6x+5)3x=18x²+15x.

Now, let's subtstract:

`(18x^(2)-3x+4)-(18x^(2)+15x)=-18x+4`

2) Let's find a number with a variable that multiplied by 6x gives as -18x. It will be -3, because (6x+5)(-3)=-18x-15.

Now, let's subtstract:

`(-18x+4)-(-18x-15)=19`

Therefore, the division will be represented as:

`(18x^(2)-3x+4)/(6x+5)=(3x-3)+(19)/(6x+5)`

I hope it helps you!