Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find $$\left(\begin{matrix}F(X) \ G(X)\end{matrix}\right)$$

Question

dumbcow · Answer

is that supposed to be division?

anonymous · Answer

long division yes

dumbcow · Answer

4x^2 -10x +11
           _______________________
2x+5 | 8x^3   +0x^2  -28x  +61
         -(8x^3  +20x^2)
         ----------------
                      -20x^2 -28x
                    -(-20x^2 -50x)
                     ---------------
                                    22x +61
                                 -(22x +55)
                                   ----------
                                             6

anonymous · Answer

$$(4x^{2}-10x+11) + 6/(2x+5)$$

anonymous · Answer

Thats the second time ive seen that notation, when did it start popping out?

anonymous · Answer

I quite like it, u have an immediately obvious and self contained expression.