SOLUTION: divide synthetic division (x^4-7x^3+9x^2-22x+25) divided by (x-6) help please

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Question 836663: divide synthetic division
(x^4-7x^3+9x^2-22x+25) divided by (x-6)
help please
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The root for x-6 is x=6, so in the condensed form which is synthetic division, you are checking the root, the zero x=6.


6_______|_____1_____-7_____9______-22_____25
________|___________6______-6______18____-24
________|_______________________________________
________|_____1_____-1_____3_______-4_____1
________|

The last number in the bottom row of numbers is 1, meaning the remainder is 1. The other numbers in the bottom row tell the coefficients for the quotient terms, meaning that the quotient of the division is highlight%28x%5E3-x%5E2%2B3x-4%2B1%2F%28x-6%29%29