Divide f(x) by d(x), and write a summary statement in the form indicated.
-$f ( x ) = x ^ { 2 } - 2 x + 3 ; d ( x ) = x - 6 \quad$ (Write answer in polynomial form)
A) $f ( x ) = ( x - 6 ) ^ { 2 } + 24$
B) $f ( x ) = ( x - 6 ) ( x + 4 ) + 27$
C) $f ( x ) = ( x - 6 ) ^ { 2 } + 27$
D) $f ( x ) = ( x - 6 ) ( x + 4 ) + 24$

Question

Quizplus · Accepted Answer

To divide $f(x) = x^2 - 2x + 3$ by $d(x) = x - 6$, we perform polynomial long division or synthetic division. The quotient will be $x + 4$ with a remainder of $27$, which gives the division statement as $f(x) = (x - 6)(x + 4) + 27$.

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