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TI-82 solve a polynomial - Texas Instruments TI-82 Calculator

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6ya6ya
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Posted on Jan 02, 2017

SOURCE: hi

m=3 , b=-1

Posted on Oct 17, 2008

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SOURCE: How do I solve a polynomial equation:

Hello,

Sorry, but what you wrote is not an equation but a polynomial expression. You want to solve the equation x^4+5x^3-3x^2-43x-60 =0.

The solve( command, can only be used with real numbers.
The solve( is available through the CATALOG : [2nd][CATALOG], scroll down till you reach the command. Highlight it and press [ENTER]. The command echodes on main screen as solve( .
You complete the command by entering the expression (not the equation), the name of the variable you solve for, the initial guess , and { lower limit, upper limit} between curly brackets, and the closing parenthesis.
Exemple:
solve (x^4+5x^3-3x^2-43x-60 , x,0 {-5,0} ) [ENTER]
should give you the negative root,
solve (x^4+5x^3-3x^2-43x-60 , x,0 {0,5} ) [ENTER]
should give you the positive root.

It is implied that the expression is 0, so you should not insert =0, otherwise you get an error. Here for the lower limit is -5 you must use the change sign symbol (-) under the 3 key, not the regular MINUS.

You may ask how I knew that there were two roots when the equation is a quartic? By first graphing it to have an idea about where the roots lie and how many there are. You should always do that to speed up the search.

There is another way to zoom in on the roots: by drawing the graph and using the tools accessible under the [2nd][CALC] menu, namely the option [2:Zero]
The resolution of the TI83/84 is not good enough for this function that grows too fast, but I am inserting a picture of the curve from another calculator with a much better resolution.

56ccf66.jpg

Hope it helps.


Posted on Oct 18, 2009

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Need instruction how to solve ploynomials/trinomials


You can do it two ways.
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1 Answer

How to solve polynomials


That depends on the order of the polynomial. If the polynomial is of second order, the quadratic formula will give you its roots. There are similar formulae for third, fourth, and fifth order polynomials, and it has been proven that no such formulae exist for higher-order polynomials.
Some TI calculators have a numerical solver which can produce numerical solutions to arbitrary polynomials. Since you declined to specify the model of your calculator, I'm afraid I can't tell you whether yours has one or not.
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Since the roots of the polynomials are -2, 1, and 3, the values (x+2), (x-1), and (x-3) must be zero.
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If you don't have the app installed, you can download it from
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