Use synthetic division to (x^3-x^2-17x-15)/(x-5). what is the quotient?

The quotient is,

Step-by-step explanation:

Divide: using synthetic division.

The steps required for Synthetic division are as follows:

Step 1 : Set up the problem first, set the denominator equal to zero to find the number to put in the division box.

Once the problem is set up correctly, bring the leading coefficient (i.e first number) straight down.  Now, multiply the number in the division box with the number you brought down and put the result in the next column. Next, add the two numbers together and write the result in the bottom of the row.  Repeat the same process, till the end of the problem.

Step 2: Write the final answer. The variables (i.,e x’s)  start off one power less than the original denominator and go down one with each term.

Set the denominator equal to 0

i.,e x-5 = 0

⇒ x =5  

Using the above steps to find the quotient by using synthetic division as shown below in the attachment.

The quotient we get ;

Igot 108 hope that’s right !

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