Chapter 4.2, Problem 4CE

To determine

To write a BASIC program to add two polynomials.

Explanation of Solution

Given:

The given polynomials are $7+2x+x^3$ and $-3+4x+x^2$

Calculation:

The following is the required BASICProgram-

10 INPUT “Enter the degree of first polynomial”: $d_1$

20 INPUT “Enter the degree of second polynomial”: $d_2$

30 INPUT “Enter the coefficients of first polynomial from least to highest degree”

40 FOR $i=0$ to $d_1$

50 READ $A_1[i]$

60 NEXT $i$

70 INPUT “Enter the coefficients of second polynomial from least to highest degree”

80 FOR $i=0$ to $d_2$

90 READ $A_2[i]$

100 NEXT $i$

110 FOR $i=0$ to $\max (d_1,d_2)$

120 SUM $=A_1[i]+A_2[i]$

130 PRINT SUM

140 NEXT $i$

150 END

DRY RUN of the program:-

INPUT:

Enter the degree of first polynomial

  $d_1=3$

Enter the degree of second polynomial

  $d_2=2$

Enter the coefficients of first polynomial from least to highest degree

  $7,2,0,1$

Enter the coefficients of second polynomial from least to highest degree

  $-3,4,1$

OUTPUT:

  $4,6,1,1$

Hence the sum of polynomial is $4+6x+x^2+x^3$