# How to factor with this model

How do i factor with this model

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• Casio Master

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,
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Posted on Jan 02, 2017

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### What is least common factor

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

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Any questions, let me know.

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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.

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