Question

(4p + 3p² − 1) ÷ (p + 4)

Answer 1

3p - 8 + 31/p + 4

Explanation:

`\[(4p + 3p^2 - 1)/(p + 4)\]`

To simplify this expression, we can perform polynomial long division:

3p - 8

____________________

p + 4 | 3p^2 + 4p - 1

- (3p^2 + 12p)

____________

-8p - 1

- (-8p - 32)

___________

31

So, the result of the division is
`\(3p - 8 + (31)/(p + 4)\)`.