Let the function P be defined by P(x) = 23 + 722 – 26x - 72 where (x +9) is a factor. To rewrite the function as the product of two factors, long division was used but

an error was made:

22 + 163 +118

& +9) 23 + 722 – 260 – 72

-23 + 9x2

16:22 – 263

-16.x2 + 1443

118x - 72

-118.2 + 1062

990

How can we tell by looking at the remainder that an error was made somewhere?