### Learning Math and Coding with Robots                                         Grid: Tics Lines: Width px Hash Lines: Width px Labels: Font px Trace Lines: Robot 1: Width px Robot 2: Width px Robot 3: Width px Robot 4: Width px
 Axes: x-axis y-axis Show Grid Grid: 24x24 inches 36x36 inches 72x72 inches 96x96 inches 192x192 inches Quad: 4 quadrants 1 quadrant Hardware Units: US Customary Metric
 Background: #### Robot 1  Initial Position: ( in, in) Initial Angle: deg Current Position: (0 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 2  Initial Position: ( in, in) Initial Angle: deg Current Position: (4 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 3  Initial Position: ( in, in) Initial Angle: deg Current Position: (8 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 4  Initial Position: ( in, in) Initial Angle: deg Current Position: (12 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

Polynomial Expansion
Problem Statement:

The Pascal Triangle on the board shows up to the 3rd row (count starting from 0 ). In a polynomial expansion (x+y)^n: the row number corresponds to n and each number in the row tells you the coefficient of each term found from Polynomial Theorem, in order. Expand this triangle to the 5th row and answer prompt question.

```/* Code generated by RoboBlockly v2.0 */
#include <chplot.h>
CPlot plot;

plot.strokeColor("blue");
plot.strokeWidth(3);
plot.text("1", PLOT_TEXT_LEFT, -6, -2);
plot.text("4", PLOT_TEXT_LEFT, -3.5, -2);
plot.text("6", PLOT_TEXT_LEFT, -0.5, -2);
plot.text("4", PLOT_TEXT_LEFT, 2.5, -2);
plot.text("1", PLOT_TEXT_LEFT, 5, -2);
plot.text("1", PLOT_TEXT_LEFT, -7.5, -4);
plot.text("5", PLOT_TEXT_LEFT, -5, -4);
plot.text("10", PLOT_TEXT_LEFT, -2.3, -4);
plot.text("10", PLOT_TEXT_LEFT, 0.7, -4);
plot.text("5", PLOT_TEXT_LEFT, 4, -4);
plot.text("1", PLOT_TEXT_LEFT, 6.5, -4);
delaySeconds(0.03);
printf("(x+y)^4 = x^4 + 4*x^3*y + 6*x^2*y^2 + 4*x*y^3 + y^4");
printf("(x+y)^5 = x^5 + 5*x^4*y + 10*x^3*y^2 + 10*x^2*y^3 + 5*x*y^4 + y^5");

plot.axisRange(PLOT_AXIS_XY, -12, 12);
plot.ticsRange(PLOT_AXIS_XY, 2);
plot.sizeRatio(1);
plot.plotting();```
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Problem Statement:

The Pascal Triangle on the board shows up to the 3rd row (count starting from 0 ). In a polynomial expansion (x+y)^n: the row number corresponds to n and each number in the row tells you the coefficient of each term found from Polynomial Theorem, in order. Expand this triangle to the 5th row and answer prompt question. Time