Divide f(x) by d(x), and write a summary statement in the form indicated.
-$f ( x ) = x ^ { 2 } - 2 x + 5 ; d ( x ) = x - 7 \quad$ (Write answer in fraction form)
A) $\frac { f ( x ) } { ( x - 7 ) } = ( x + 5 ) + \frac { 40 } { ( x - 7 ) }$
B) $\frac { f ( x ) } { ( x - 7 ) } = ( x - 7 ) + \frac { 40 } { ( x - 7 ) }$
C) $\frac { f ( x ) } { ( x - 7 ) } = ( x + 5 ) + \frac { 35 } { ( x - 7 ) }$
D) $\frac { f ( x ) } { ( x - 7 ) } = ( x - 7 ) + \frac { 35 } { ( x - 7 ) }$

Question

Quizplus · Accepted Answer

Dividing $f(x) = x^2 - 2x + 5$ by $d(x) = x - 7$ using polynomial long division or synthetic division, the quotient is $x + 5$ with a remainder of 40, leading to the expression $x + 5 + \frac{40}{x - 7}$.

Divide F(x) by D(x), and Write a Summary Statement in the Form