Question

***ANSWER ASAP**** Use synthetic division to solve (x^3-x^2-17x-15)/(x-5)

Answer 1

Answer: $1x^2+4x+3$

Step-by-step explanation: Given expression (x^3-x^2-17x-15)/(x-5).

We need to divide it x^3-x^2-17x-15 by x-5 using synthetic division .

In order to solve by synthetic division, we would write all the coefficients of given divisor polynomial:

And we divide them by 5 using synthetic division method.

             ______________          

      5    |     1   -1   -17   -15                       Getting first number down.

            |           5   20   -15                      Multiplying each down number by

           - - - - - - - - - - - - - - - -                    divisor 5.

                  1    4      3       0                     5×1=5  , 5×2=20, 5×2=15

                                                   Subtracting those products from coefficients.

Now, writing the final polynomial degree 1 less than 3, that is 2.

So, $1x^2+4x+3$ would be our quotient.                    

Answer 2

There's nothing to "solve" here; "solve" only applies to equations. Rather, you're expected to divide or simplify.

5  |  1   -1   -17   -15
.   |        5    20     15
- - - - - - - - - - - - - - - -
.   |  1    4      3       0

which translates to

$\dfrac{x^3-x^2-17x-15}{x-5}=x^2+4x+3$