How do i factor with this model

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.

However
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 +....

This 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.

Hope it helps.

Posted on Oct 31, 2009

Hi,

a 6ya expert can help you resolve that issue over the phone in a minute or two.

best thing about this new service is that you are never placed on hold and get to talk to real repairmen in the US.

the service is completely free and covers almost anything you can think of (from cars to computers, handyman, and even drones).

click here to download the app (for users in the US for now) and get all the help you need.

goodluck!

Posted on Jan 02, 2017

The greatest common factor is 14.

Oct 06, 2016 | Office Equipment & Supplies

I believe factors can be calculated on any basic calculator.

Starting with 1, increasing by 1 until you get to square root (number) + 1

Let's do an example.

28

square root (28)+1 = 6

Factors

1, 28/1=28

2, 28/2=14 14*2 - 28 = 0 (when you divide, you get no decimal)

3, 28/3=9.33333 - not a factor - doesn't go in evenly

4, 28/4 =7

5, 28/5=5.6 - not a factor - doesn't go in evenly

6, 28/6=4.66666 - not a factor

So now we can list our factors - 1, 28, 2, 14, 4, 7

Putting them in order, we get 1, 2, 4, 7, 14 and 28.

Good luck,

Paul

Starting with 1, increasing by 1 until you get to square root (number) + 1

Let's do an example.

28

square root (28)+1 = 6

Factors

1, 28/1=28

2, 28/2=14 14*2 - 28 = 0 (when you divide, you get no decimal)

3, 28/3=9.33333 - not a factor - doesn't go in evenly

4, 28/4 =7

5, 28/5=5.6 - not a factor - doesn't go in evenly

6, 28/6=4.66666 - not a factor

So now we can list our factors - 1, 28, 2, 14, 4, 7

Putting them in order, we get 1, 2, 4, 7, 14 and 28.

Good luck,

Paul

Jul 13, 2016 | Texas Instruments TI-30 XIIS Calculator

Normally, we look for the greatest common factor and the least common multiple.

To find the least common factor, we have to factor both numbers and see what the least common factor is. However, we know the one set of factors for every number is itself and one. For example, 56 and 49.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56.

The factors of 49 are 1, 7, 49.

What is the least common factor of both numbers? 1

So the least common factor of any two numbers is 1.

Any questions, let me know.

Good luck,

Paul

To find the least common factor, we have to factor both numbers and see what the least common factor is. However, we know the one set of factors for every number is itself and one. For example, 56 and 49.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56.

The factors of 49 are 1, 7, 49.

What is the least common factor of both numbers? 1

So the least common factor of any two numbers is 1.

Any questions, let me know.

Good luck,

Paul

Jun 01, 2016 | Office Equipment & Supplies

There is a program on page 253 of the manual (http://support.casio.com/manualfile.php?rgn=5&cid=004002013) to get the prime factors of any number. You could modify the program to get all the factors.

Another way would be to do it manually. I start with the number 1 and go up to the square root of the number. The square root of 120 is 10.95, so let's go up to 11. Using 120 as an example:

120 /1 = 120 thus factor is (1, 120)

120/2 = 60 thus factor is (2, 60)

120/3 = 40 thus factor is (3, 40)

120/4 = 30 thus factor is (4, 30)

120/5 = 24 thus factor is (5, 24)

120/6 = 20 thus factor is (6, 20)

120/7 = 1.7 thus 7 not a factor

120/8 = 15 thus factor is (8,15)

120/9 = 13.3 thus 9 is not a factor

120/10 = 12 thus factor is (10,12)

120/11 = 10.9 thus 11 is not a factor.

Good luck.

Paul

Another way would be to do it manually. I start with the number 1 and go up to the square root of the number. The square root of 120 is 10.95, so let's go up to 11. Using 120 as an example:

120 /1 = 120 thus factor is (1, 120)

120/2 = 60 thus factor is (2, 60)

120/3 = 40 thus factor is (3, 40)

120/4 = 30 thus factor is (4, 30)

120/5 = 24 thus factor is (5, 24)

120/6 = 20 thus factor is (6, 20)

120/7 = 1.7 thus 7 not a factor

120/8 = 15 thus factor is (8,15)

120/9 = 13.3 thus 9 is not a factor

120/10 = 12 thus factor is (10,12)

120/11 = 10.9 thus 11 is not a factor.

Good luck.

Paul

Jul 05, 2015 | Casio FX-9750GII Graphing Calculator

To convert a fraction to lowest terms, we must divide the numerator (the top number) and the denominator (the bottom number) by a common number until we can't reduce it any more. A method for doing this is to factor the numerator and denominator by their common factors.

So let's factor 711 and 22.

1 x 711

9 x 79

3 x 3 x 79

I don't think I can factor 79. We should check the numbers from 2 up to the square root of 79, or approximately 9.

Factoring 22,

1 x 22

2 x 11

Unfortunately, none of the factors of 711 are common with the factors of 22, so it is already in its lowest terms, and cannot be reduced.

Good luck,

Paul

So let's factor 711 and 22.

1 x 711

9 x 79

3 x 3 x 79

I don't think I can factor 79. We should check the numbers from 2 up to the square root of 79, or approximately 9.

Factoring 22,

1 x 22

2 x 11

Unfortunately, none of the factors of 711 are common with the factors of 22, so it is already in its lowest terms, and cannot be reduced.

Good luck,

Paul

Apr 09, 2015 | Office Equipment & Supplies

I do not think that the FX115ES can give you the prime factor decomposition of a number. The FX115ES Plus may do it.

On the FX991 ES Plus there is key marked FACT.. It is the one between the Change sign key (-) and the HYPerbolic key.

I am afraid you will have to do the decomposition of the two numbers by hand. For example

1440=(2^5)(3^2)(5)

700=(2^2)(5^2)(7)

By multiplying the two number you can get a multiple of both but it won't be the smallest.

What you do is scan the two decompositions to identify the various prime factors, 2,3,5, 7

All those factors must be present in the LCM. For each prime factor, select the largest exponent . This is going to be 5 for factor 2, 2 for factor 3, 2 for factor 5, and 1 for factor 7

Hence**LCM(1440,700)= (2^5)(3^2)(5^2)(7^1)=50400**

Verify that 50400/1440=35 and 50400/700=72

On the FX991 ES Plus there is key marked FACT.. It is the one between the Change sign key (-) and the HYPerbolic key.

I am afraid you will have to do the decomposition of the two numbers by hand. For example

1440=(2^5)(3^2)(5)

700=(2^2)(5^2)(7)

By multiplying the two number you can get a multiple of both but it won't be the smallest.

What you do is scan the two decompositions to identify the various prime factors, 2,3,5, 7

All those factors must be present in the LCM. For each prime factor, select the largest exponent . This is going to be 5 for factor 2, 2 for factor 3, 2 for factor 5, and 1 for factor 7

Hence

Verify that 50400/1440=35 and 50400/700=72

Sep 22, 2014 | Casio FX-115ES Scientific Calculator

The calculator has no application that will find the highest common divisor (or HCF) but that should not be difficult to do by hand.

Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation:**That helps**

Decompose the second number in prime factors too, using the exponent notation.

Now look at the two decompositions. If a prime factor is present in both decomposition it must be in the HCD /HCF, with the smallest of the two exponents. Do that for all prime factors

Example;

(2^5)*3***(5^4)**(7^3)***11**

**(2^3)***(5^6)*(11^2)***7**

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

**(2^3)*(5^4)*7*11**

Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation:

Decompose the second number in prime factors too, using the exponent notation.

Now look at the two decompositions. If a prime factor is present in both decomposition it must be in the HCD /HCF, with the smallest of the two exponents. Do that for all prime factors

Example;

(2^5)*3*

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

Mar 27, 2014 | Casio Office Equipment & Supplies

This calculator does not have a key that you can use to find the prime factor of an integer.

You can however use the calculator to find the factors

1.** If number is even divide it by 2**

Keep dividing by 2, while keeping track of how many times you divided by 2.

If you divided 5 times by 2 before getting an odd number, then your first factor is 2^5

2.**Now try dividing by 3**, keep track of the number of times you divided by 3 before you could not divide by 3 any more. If you divided 0 times by 3, your second factor is 3^0, or 1 and 3 is not a factor.

If you divided 4 times by 3, your second factor is 3^4

3.**Divide by 5,** until you can't any more. Keep track of the number of times you divided by 5.

4. Divide by all other prime numbers 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, etc. For each prime number, keep track of how many times you divided by it, until you could not any more.

**Example: 23100**

*Division by 2*

23100/2=11550 ---------> 1 division by 2

11550/2=5775 ----------> 2 divisions by 2

Note that 5775 is not divisible by 2.** No more divisions by 2. **

First factor is 2^2

*Division by 3:*

5775/3=1925 ----------> 1 division by 3

1925/3=641. 66667 Not an integer. No more divisions by 3.

**2nd factor is 3^1**

*Division by 5 (number ends in 5)*

1925/5 =385 -------> 1 division by 5

385/5=77 ----------> 2 divisions by 5 and no more (quotient does not end in 0 or 5)

**3rd factor is 5^2**

*Division by 7 *

77/7=11 --------> 1 division by 7, and no more

**4th factor is 7^1=7**

*Division by 11*

11/11=1

**5th factor is 11^1=11**

Assembling the factors 2^2, 3^1, 5^2, 7, 11

Prime factorization of 23100 is

**23100=(2^2)(3)(5^2)(7)11**

You can however use the calculator to find the factors

1.

Keep dividing by 2, while keeping track of how many times you divided by 2.

If you divided 5 times by 2 before getting an odd number, then your first factor is 2^5

2.

If you divided 4 times by 3, your second factor is 3^4

3.

4. Divide by all other prime numbers 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, etc. For each prime number, keep track of how many times you divided by it, until you could not any more.

23100/2=11550 ---------> 1 division by 2

11550/2=5775 ----------> 2 divisions by 2

Note that 5775 is not divisible by 2.

First factor is 2^2

5775/3=1925 ----------> 1 division by 3

1925/3=641. 66667 Not an integer. No more divisions by 3.

1925/5 =385 -------> 1 division by 5

385/5=77 ----------> 2 divisions by 5 and no more (quotient does not end in 0 or 5)

77/7=11 --------> 1 division by 7, and no more

11/11=1

Assembling the factors 2^2, 3^1, 5^2, 7, 11

Prime factorization of 23100 is

Dec 18, 2013 | Texas Instruments TI-30XA Calculator

Well, to answer part of your question, yes... the TI-89 does factor like this. it is inputted like this:

factor(6*x^2+11*x+4,x)

Check the catalog in the TI-84 (which is 2nd-zero) and look under F for factor()

factor(6*x^2+11*x+4,x)

Check the catalog in the TI-84 (which is 2nd-zero) and look under F for factor()

Jan 12, 2009 | Texas Instruments TI-89 Calculator

650 people viewed this question

Usually answered in minutes!

×