hp 49g+_user's guide_English_E_DCVL5300427_V2

Page C-8
For example, having selected the Step/step option, the following screens
show the step-by-step division of two polynomials, namely, (X
3
-5X
2
+3X-2)/(X-
2). This is accomplished by using function DIV2 as shown below. Press `
to show the first step:
The screen inform us that the calculator is operating a division of polynomials
A/B, so that A = BQ + R, where Q = quotient, and R = remainder. For the
case under consideration, A = X
3
-5X
2
+3X-2, and B = X-2. These polynomials
are represented in the screen by lists of their coefficients. For example, the
expression A: {1,-5,3,-2} represents the polynomial A = X
3
-5X
2
+3X-2, B:{1,-2}
represents the polynomial B = X-2, Q: {1} represents the polynomial Q = X,
and R:{-3,3,-2} represents the polynomial R = -3X
2
+3X-2.
At this point, press, for example, the ` key. Continue pressing ` the key
to produce additional steps:
Thus, the intermediate steps shown represent the coefficients of the quotient
and residual of the step-by-step synthetic division as would have been
performed by hand, i.e.,
=
−
−+−
+=
−
−+−
2
233
2
235
2
2
23
X
XX
X
X
XXX