SOLUTION: Divide using synthetic division, and write a summary statement in fraction form. two x to the fourth minus x cubed minus fifteen x squared plus three x divided by quantity x plu

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide using synthetic division, and write a summary statement in fraction form. two x to the fourth minus x cubed minus fifteen x squared plus three x divided by quantity x plu      Log On


   

Question 1108098: Divide using synthetic division, and write a summary statement in fraction form.
two x to the fourth minus x cubed minus fifteen x squared plus three x divided by quantity x plus three
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
two x to the fourth minus x cubed minus fifteen x squared plus three x divided by quantity x plus three


%282x%5E4-x%5E3-15x%5E2%2B3%29%2F%28x%2B3%29

A term for x is needed, missing in your dividend so you will use dividend of
2x%5E4-x%5E3-15x%5E2%2B0x%2B3,
and the coefficients are 2, -1, -15, 0, 3;
and the "root" to check is -3. 

setup the synthetic division

-3   |   2   -1   -15   0   3
     |
     |
     ------------------------------





The Process for the synthetic division


-3   |   2   -1   -15   0   3
     |
     |        6    15   0   0
     ------------------------------
        2    5     0    0   3

That means, the result for the division is 2x%5E3%2B5x%5E2%2B3%2F%28x%2B3%29
and you can convert this to a single rational form if you want.