Question

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

Answer 1

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


`(x^3-x^2-17x-15)/(x-5)=x^2+4x+3`

Answer 2

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.