Answer:
[tex] \frac{8 {x}^{3} + {x}^{2} + 32x + 4}{ {x}^{2} + 4 } = 8x + 1[/tex]
Step-by-step explanation:
Assuming, we the given polynomial is
[tex]8 {x}^{3} + {x}^{2} + 32x + 4[/tex]
and the divisor is
[tex] {x}^{2} + 4[/tex]
Then , the polynomial division is shown in the attachment.
This implies that:
[tex] \frac{8 {x}^{3} + {x}^{2} + 32x + 4}{ {x}^{2} + 4 } = 8x + 1[/tex]
