Concept explainers
a.
Torun the program in exercise 1to find whether the giventrinomial
a.
Explanation of Solution
Given:
If the polynomial is perfect square trinomial, the program should print its factorization.
The given trinomial is
Calculation:
The following is the required BASICProgram-
10 INPUT “ENTER A, B AND C:” A, B, C$ 20 INPUT “ENTER SIGN OF B;”T$ 30LET R=0 40 FOR I=1 TO A 50 IF I*I=A THEN R=I 60 NEXT I 70 LET S=0 80 FOR J=1 TO C 90 IF J*J=C THEN S=I 100 NEXT J 110 IF R==I AND S==J AND 2*R*S==B THEN PRINT “THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL” “AND ITS FACTORISATION ARE”; “(“;R ”x” TS”)(“;R ”x” TS”)”; 120 ELSE PRINT “THE GIVEN TRINOMIAL IS NOT A PERFECT SQUARE TRINOMIAL” 130 END
DRY RUN of the program:-
SAMPLE OUTPUT:
ENTER A, B AND C
THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL
AND ITS FACTORISATION ARE
b.
To run the program in exercise 1 to find whether the given trinomial
b.
Explanation of Solution
Given:
If the polynomial is perfect square trinomial, the program should print its factorization.
The given trinomial is
Calculation:
The following is the required BASICProgram-
10 INPUT “ENTER A, B AND C:” A, B, C$ 20 INPUT “ENTER SIGN OF B;”T$ 30 LET R=0 40 FOR I=1 TO A 50 IF I*I=A THEN R=I 60 NEXT I 70 LET S=0 80 FOR J=1 TO C 90 IF J*J=C THEN S=I 100 NEXT J 110 IF R==I AND S==J AND 2*R*S==B THEN PRINT “THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL” “AND ITS FACTORISATION ARE”; “(“;R ”x” TS”)(“;R ”x” TS”)”; 120 ELSE PRINT “THE GIVEN TRINOMIAL IS NOT A PERFECT SQUARE TRINOMIAL” 130 END
DRY RUN of the program:-
SAMPLE OUTPUT:
ENTER A, B AND C
THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL
AND ITS FACTORISATION ARE
c.
To run the program in exercise 1 to find whether the given trinomial
c.
Explanation of Solution
Given:
If the polynomial is perfect square trinomial, the program should print its factorization.
The given trinomial is
Calculation:
The following is the required BASICProgram-
10 INPUT “ENTER A, B AND C:” A, B, C$ 20 INPUT “ENTER SIGN OF B;”T$ 30 LET R=0 40 FOR I=1 TO A 50 IF I*I=A THEN R=I 60 NEXT I 70 LET S=0 80 FOR J=1 TO C 90 IF J*J=C THEN S=I 100 NEXT J 110 IF R==I AND S==J AND 2*R*S==B THEN PRINT “THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL” “AND ITS FACTORISATION ARE”; “(“;R ”x” TS”)(“;R ”x” TS”)”; 120 ELSE PRINT “THE GIVEN TRINOMIAL IS NOT A PERFECT SQUARE TRINOMIAL” 130 END
DRY RUN of the program:-
SAMPLE OUTPUT:
ENTER A, B AND C
THE GIVEN TRINOMIAL IS NOT A PERFECT SQUARE TRINOMIAL
d.
To run the program in exercise 1 to find whether the given trinomial
d.
Explanation of Solution
Given:
If the polynomial is perfect square trinomial, the program should print its factorization.
The given trinomial is
Calculation:
The following is the required BASICProgram-
10 INPUT “ENTER A, B AND C:” A, B, C$ 20 INPUT “ENTER SIGN OF B;”T$ 30 LET R=0 40 FOR I=1 TO A 50 IF I*I=A THEN R=I 60 NEXT I 70 LET S=0 80 FOR J=1 TO C 90 IF J*J=C THEN S=I 100 NEXT J 110 IF R==I AND S==J AND 2*R*S==B THEN PRINT “THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL” “AND ITS FACTORISATION ARE”; “(“;R ”x” TS”)(“;R ”x” TS”)”; 120 ELSE PRINT “THE GIVEN TRINOMIAL IS NOT A PERFECT SQUARE TRINOMIAL” 130 END
DRY RUN of the program:-
SAMPLE OUTPUT:
ENTER A, B AND C
THE GIVEN TRINOMIAL IS PERFECT SQUARE TRINOMIAL
AND ITS FACTORISATION ARE
Chapter 4 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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