Answer:
The quotient is, \(x^2+4x+3\)
Step-by-step explanation:
Divide: \(\frac{x^3-x^2-17x-15}{x-5}\) 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 ; \(x^2+4x+3\)
