# How to you factor trinomials - Casio FX-9750GPlus Calculator

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The short story is that this calculator does have a computer algebra system or CAS and thus cannot factor polynomials with arbitrary (unknown) coefficients or known coefficients.
However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).
Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.

The procedure ( for a 3rd degree polynomial) is as follows:
If you want to factor a cubic polynomial P3(X) = aX^3 bX^2 cX d , you write the corresponding cubic equation as aX^3 bX^2 cX d =0 , then you divide all terms of the equation by a to obtain

X^3 (b/a)X^2 (c/a)X (d/a)=0.

You use the calculator to solve (approximately) this equation.
Suppose you find the 3 roots X1,X2,and X3. Then the polynomial X^3 (b/a)X^2 (c/a)X (d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

P3(X) = a*(X-X1)(X-X2)(X-X3)

You can handle the quadratic polynomial the same way.
P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

Posted on Oct 01, 2010

• k24674 Oct 01, 2010

I do not know why the site clips my plus signs. The equations should look like
aX^3 plus bX^2 plus cX plus d =0
X^3 plus (b/a)X^2 plus (c/a)X plus (d/a)=0.

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Posted on Jan 02, 2017

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## Related Questions:

### Perform factoring, e.g binomials, trinomials, by grouping

This is a scientific calculator that can perform many operations on numbers but not on letter symbols. It does not have a Computer Algebra System.

Oct 27, 2015 | Casio Office Equipment & Supplies

### What is factoring and give the examples

Quick-Start Guide When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. At this point the calculator will attempt to factor the expression by dividing a G C F, and identifying a difference between two squares, or factorable trinomials. Use the following rules to enter expressions into the calculator. Variables Any lowercase letter may be used as a variable. Exponents Exponents are supported on variables using the ^ (caret) symbol. For example, to express x 2, enter x ^ 2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses. Parentheses and Brackets Parentheses ( ) and brackets [ ] may be used to group terms as in a standard expression. Multiplication, Addition, and Subtraction For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is optional when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * ( x + 5 ) can also be entered as 2 ( x + 5 ) ; 2 x * ( 5 ) can be entered as 2 x ( 5 ). The * is also optional when multiplying parentheses, example: ( x + 1 ) ( x - 1 ). Order of Operations The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error. Division, Square Root, Radi cals, Fractions Division, square root, radi cals, and fractions are not supported at this time. A future release will add this functionality.

that's all I can say basically I learned it this way.

Jul 09, 2015 | Office Equipment & Supplies

### Is this a trinomial Square 4r^2+4r+1

Divide it by 4 to get r^2+r+1/4
You can put it in the form (r+1/2)^2 or (r+0.5)^2
So it can be expressed as the square of the binomial (r+1/2).

Jun 30, 2014 | Office Equipment & Supplies

### EXAMPLE OD SQUARE BINOMIAL

I don't know what OD is, but this may assist

http://www.themathpage.com/alg/perfect-square-trinomial.htm

Jun 08, 2014 | Computers & Internet

### 2x^3-3x (a) state whether the polynomial is a monomial,binomial, trinomial, or none of these. (b) state whether it is in descending or ascending order. provide a reasons for your answer

a) It is a 3rd degree binomial because there are only 2 terms.

b) It is in descending order because the degree of each term goes down as you read the expression from left to right

May 23, 2014 | Office Equipment & Supplies

### Is my fx-300 capable of factoring trinomials?

Sorry, but no! it is not capable of factoring anything. It can however solve for the roots of a polynomial equation.Write your polynomial as P(X)= a(X² +(b/a)X+c/a) =0. Use the calculator to solve the polynomial equation X² +(b/a)X+c/a =0 and find the roots X1, and X2. You will then be able to write the original polynomial as P(X)=a(X-X1)(X-X2). Beware that by using the calculator, the values of the roots are approximate.

Mar 14, 2011 | Casio fx-300ES Calculator

### I want to know if you can factor trinomials on ti-84 plus silver edition

The calculator itself does not have a computer algebra system and therefore cannot handle algebraic expressions.

Dec 14, 2010 | Texas Instruments TI-84 Plus Silver...

### I don't have a mechanical problem with the calculator, but I have a question. Will my Casio factor quadratic trinomials?

Natively, the calculator cannot factor polynomials because it does not have a Computer Algebra System or (CAS). You can however find the roots of the polynomial equation P(x)=0 and factor approximately.

On the Internet, there is a program which you can download and transfer to your calculator. Here is the link (the page is in French).

Dec 09, 2010 | Casio FX-9750GPlus Calculator

### How do you factor a trinomial on a Casio 9750Gii. Example problem: 6 + 23k + 7k2

You cannot factor a polynomial with the help of this calculator. It does not have a Computer Algebra System or CAS. You can factor it approximately.
1. You can however rewrite the equation 7k^2+23k+6=0 in the canonical form X^2+ (23/7)X+(6/7)=0
2. Calculate its discriminant Delta= (23/7)^2-4*(6/7), which is positive, meaning that real solutions exist.
3. Calculate the two roots x1 and x2 (approximately).
4. The polynomial can be factored as (X-x1)(X-x2)

May 05, 2010 | Casio FX-9750GPlus Calculator

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