Question

The volume of a rectangular prism is

Answer 1

Answer:

$x+4$

Step-by-step explanation:

This question is essentially asking: $p(x)^2*(x-3)=x^3+5x^2-8x-48$. Find $p(x)$.

The left hand side can be factored into $(x-3)(x+4)^2$ by the rational root theorem and polynomial division.

We can then divide both sides of the equation to get $p(x)^2=(x+4)^2$.

Finally, we take the square root of both sides to obtain $p(x)=x+4$.

So, the answer is $\boxed{x+4}$