Question

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 points)

Answer 1

We start with

$\dfrac{4x^3+5x^2+3x}{x}$

We can factor x at the numerator:

$\dfrac{x(4x^2+5x+3)}{x}$

So, assuming $x\neq 0$ (otherwise the expression would make no sense) we can simplify it:

$\dfrac{x(4x^2+5x+3)}{x} = 4x^2+5x+3$

This equation has no roots, so we can't simplify it any further.