Question

Use the long division method to find the result when 8x3 + 30x2 + 3x – 1 is divided by 4x + 1. If there is a remainder, express the result in the form q(x) + r(3) b(x)

Answer 1

`2x^2+7x-1`

Step-by-step explanation:

Given the polynomial division:

`(8x^3+30x^2+3x-1)/(4x+1)`

The long division table is attached below:

Therefore, we have that:

`(8x^3+30x^2+3x-1)/(4x+1)=2x^2+7x-1`