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The polynomial cannot be factored in the set of Real numbers: The roots of the polynomial equation are complex.
You should use the command cFactor( found under F2:Algebra> A:Complex>2:cFactor(
However, you should set the Mode Complex>Rectangular, and the EXACT/APPROXIMATE mode to Exact, otherwise your roots will be in decimal representation.
Simple. The calculator interpreted what you entered as much as it could. However when it got to the 2mn part, it recognized the factor 2 and carried out the multiplication of 3 and 2 to give 6, but you never defined for it what mn was. To make sure it understands, insert an explicit multiplication sign between m and n, otherwise it considers the grouping as some new variable. Implicit multiplication cases are easily recognized when they involve a number and a variable, but not when two letters follow one another.
Note: I believe you are not using the right command. Yes, it gives the result here, but the command you should be using is factor( rather than expand(. expand( will open up parentheses and lengthen the expressions. Just thought you might want to know.
I am somewhat puzzled at your affirmation concerning factoring and expanding algebraic expressions. The TINspire does not do symbolic algebra, only the TI NspireCAS does. If you have the TINspireCAS, (version 2.x) you can
press the HOME button, then select A:Calculate.
In one of the pages, press MENU.
Use Down Arrow or enter the number 2:Factor, or 3:expand
In the command line, expand( , complete the command by entering the expression, close the right parenthesis and press [ENTER].
The calculator should give you the expanded result.
Hello, Sorry, but you cannot use this calculator to factor a general polynomial. 1. It does not know symbolic algebra. 2. It can only manipulate numbers.
if you have polynomials of degree 2 or 3, with numerical coefficients
(no letters) you can set [MODE] to Equation and use the equation solver
to find the real roots of 2nd degree or 3rd degree polynomials.
Assuming that your polynomials have real roots (X1, X2) for the
polynomial of degree 2, or (X1, X2, X3) for the polynomial of degree 3,
then it is possible to write
P2(X) =a*(X-X1)(X-X2) P3(X)= a(X-X1)(X-X2)(X-X3)
where a is the coefficient of the highest degree monomial aX^2 +...
or aX^3 +....
is an approximate factorization, except if your calculator configured
in MathIO, has been able to find exact roots (fractions and radicals)
While the [MODE][5:Equation] only handles quadratic and cubic equations, the [SHIFT][SOLVE=] solver finds the roots of arbitarry expressions (not limited to polynomials). In principle you can use it to find the roots of an expression. If it is a polynomial of dgree higher that 3 you can factor it (approximately).
But I have a hunch that this is not what you wanted to hear.
oh yeah, you must've archived x, that is, you put a number onto the x variable so that the calculator calculates the answer for you, and THEN AUTOMATICALLY calculates the answer when x is in terms of that number. I am guessing you accidentally did 10[sto] x at one point. You can simply unarchived the x number and everything will be dandy!