The questions is "A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x). Express in the form P(x)=d(x)*q(x)+R(x)
P(x)=x^3 -27
d(x)=x+3
x^3 -27=(x+3)( _ ) - __
+26400 The questions is "A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x). Express in the form P(x)=d(x)*q(x)+R(x)
P(x)=x^3 -27
d(x)=x+3
\(\small{ \begin{array}{rcl} (x^3-27) : ( x+3) &=& x^2 - 3x + 9 - \frac{54}{x+3} \qquad | \qquad \cdot (x+3) \\ (x^3-27) &=& ( x+3)( x^2 - 3x + 9 ) -54 \\ \end{array} } \)
+118723 It is difficult to lay this out properly on the forum but it is quite literally done the same as a number long division.
I'll see if I can find another example :/
Here is one example :/
http://web2.0calc.com/questions/3x-3-5x-2-10x-3-3x-4
If you google "Algebraic long division" There are a heap of sites and more than one good you tube clip that deals with this topic.
+26400 The questions is "A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x). Express in the form P(x)=d(x)*q(x)+R(x)
P(x)=x^3 -27
d(x)=x+3
\(\small{ \begin{array}{rcl} (x^3-27) : ( x+3) &=& x^2 - 3x + 9 - \frac{54}{x+3} \qquad | \qquad \cdot (x+3) \\ (x^3-27) &=& ( x+3)( x^2 - 3x + 9 ) -54 \\ \end{array} } \)
