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. 4x2 + 5x + 3 the quantity 4 times x to the 2nd power plus 5 times x plus 3 all over x 4x2 + 5x2 + 3x 4x4 + 5x3 + 3x2

I think this is what you're talking about... and if that's the case, the easiest way to do this is to split the numerator up into its 3 separate expressions and put each one over x and reduce each one individually.  It would look like this:  .  Then simplify the x's by reducing.  The first expression reduces to , the second one to 5x, and the last to 3.  So your answer is