Need help with the middle peice here...
P(x) = 4x3 − 5x2 − 5x − 6 expressed in the form (divisor)(quotient) + remainder for the divisor is (x+3)(__?__)+144.

Question

Need help with the middle peice here... 
P(x) = 4x3 − 5x2 − 5x − 6 expressed in the form (divisor)(quotient) + remainder for the divisor is (x+3)(__?__)+144.

amistre64 · Answer

How many times does x+3 go into P(x)?

amistre64 · Answer

4x^2 -17x+ 46
      -----------------------
x+3 | 4x^3 − 5x^2 − 5x − 6
                  -12x^2
                    ------------
                    -17x^2 -5x
                                 51x
                              ----------
                                  46x -6
                                       -138
                                   ---------
                                        -144


either you have a typo or i do

anonymous · Answer

i got the same answer, but i need to fill in the (__?__) spot. I can't figure what i am doing wrong

amistre64 · Answer

(4x^2 -17x+ 46) IS the blank spot, or should be.  Since the +144 is on the end there if might mean somthing different; try using wolframalpha.com

anonymous · Answer

i think i know what i did.. i left it as 4x^3 instead of to the 2nd

amistre64 · Answer

http://www.wolframalpha.com/input/?i=%284x3+%E2%88%92+5x2+%E2%88%92+5x+%E2%88%92+6%29%2F%28x%2B3%29

amistre64 · Answer

attachment

anonymous · Answer

Thanks once again for your help Amistre.. I was making the equation 4x^3 instead of 4x^2 fixed that and got my answer