Factoring Expressions and Solving Equations :MATLAB Assignment

1. At the prompt, type the following commands and press Enter :
clear

syms x

expr1 = (x-1)*(x-2)*(x-3)*(x-4)*(x-5)

expr2 = expand(expr1)

factor(expr2)

solve(expr2) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .This solves the equation
Explain what happened. What is the relationship between solving and factoring?

2. Type and enter:
expr3 = xˆ4 + 3*xˆ3 + 3*xˆ2 + x + 3

factor(expr3)

solve(expr3)

double(ans)

3. Explain what happened. Explain why an exact, symbolic solution may not be as useful as an approximation.

Try to solve by typing the following commands:
factor(expr3 - 3)

solve(expr3 - 3)

double(ans)

Why is the answer so nice?

4. Make be equal to by typing: expr4 = expr1 + 1
Try to factor by typing: factor(expr4)

And to solve
by typing: solve(expr4)

Why do you think MATLAB produces a numerical solution (for solve), rather than sym bolic? Hint: Is it possible in this case to give a symbolic solution? Why?

5. Prepare a brief (< 1> The user learns basic algebraic manipulation commands and is led to consider the dif ference between numerical and symbolic solving techniques. The user must confront the foundational fact that a symbolic solution is not always possible.

1Copyright c 2002, Larry Snyder and Todd Young. All rights reserved. Please address comments to young@math.ohiou.edu.

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