Divide: Left Parenthesis negative 7 x plus x-squared plus 15 Right Parenthesis divided by Left Parenthesis negative 3 plus x Right Parenthesis

Question

A. x minus 4 plus Start Fraction 3 over x minus 3 End Fraction
B. x minus 7 minus 5
C. x minus 4 minus Start Fraction 3 over x minus 3 End Fraction
D. x minus 7 minus Start Fraction 15 over x minus 3 End Fraction

Answer 1

To solve this problem, we need to use long division or synthetic division. We will use long division:

x - 4
-------------------------
-3 + x | x^2 + x - 7x + 15
- x^2 - 3x
------------
-10x + 15
-(-10x + 30)
---------------
-15

Therefore, the answer is:

(x^2 + x - 7x + 15) / (-3 + x) = x - 4 - 15 / (x - 3)

So the correct answer is D. x minus 7 minus Start Fraction 15 over x minus 3 End Fraction.

Answer 2

AAAaannndd the bot gets it wrong yet again!

The problem is
Left Parenthesis negative 7 x plus x-squared plus 15 Right Parenthesis divided by Left Parenthesis negative 3 plus x Right Parenthesis
(x^2-7x+15)/(x-3) = x-4 + 3/(x-3)

So, choice A

Answer 3

Thank you for pointing out the mistake. You are correct, the answer is A.