# HP 49g+ User Manual Page 800

Graphing calculator.

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For example, having selected the Step/step option, the following screens
show the step-by-step division of two polynomials, namely, (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.
case under consideration, A = X
are represented in the screen by lists of their coefficients. For example, the
expression A: {1,-5,3,-2} represents the polynomial A = X
represents the polynomial B = X-2, Q: {1} represents the polynomial Q = X,
and R:{-3,3,-2} represents the polynomial R = -3X
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.,
3
X
5
X
X
3
2
-5X
+3X-2, and B = X-2. These polynomials
2
+
3
X
2
3
2
=
X
+
2
3
2
-5X
+3X-2)/(X-
For the
3
2
-5X
+3X-2, B:{1,-2}
2
+3X-2.
2
X
+
3
X
2
=
X
2
Page C-8

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