Math Tutorial - Finding the Greaquiz Common Factor and Factoring Squares

Greaquiz Common Factor: of two amounts is the result of two amounts being factored into their smaller factors individually and the of all the amounts that are factors, the one that is greaquiz is the greaquiz common factor.

Symbol: ( ) means greaquiz common factor.

For instance, (6,8) means the greaquiz common factor of 6 and 8.

Example: (6, 8) is,

First, find all the factors of 6. The factors of 6 are all the amounts that when multiplied by another amount offer us 6. Those are, 1, 2, 3, 6. that is so because:

1*6=6 and 2*3=6

So you see that each amount when multiplied by another amount offers us 6.

alikely,

Second, Find the factors of 8.

Those are, 1, 2, 4, 8.

So, now, when we look at the factors of 6 and 8

for 6: 1, 2, 3, 6

for 8: 1, 2, 4, 8

We see that 1, and 2, both appear in the factors of both six and 8:

Now, of the factors that appear in both amounts, that is 1 and 2, the greaquiz one is 2. *

We use greaquiz instead greater because when we speak of bigger amounts, there might be more than just two amounts that are common factors.

Factoring A Difference Of Two Squares

Once students are familiar with the idea of factoring, there are shortcuts to the FOIL method of quadratic equation factoring. One of these is factoring a difference of two squares. A difference of two squares means that we have a monomial multiplied to another monomial to offer us a quadratic function where one monomial is a conjugate pair of the other and the middle term in the quadratic form of an equation disappears.

A quadratic equation is regifted by ax^2+bx+c, when the "bx" term disappears, we have a difference of two squares.

Example:

(x-3)*(x+3), here (x+3) is a conjugate pair of (x-3), and here is where we fetch a difference of two squares.

(x-3)(x+3), using the FOIL method, is:

(x)(x)+(x)(3)+(-3)(x)+(-3)(3)=

x^2+3x-3x-9

x^2-9.

Here, we see that since the middle term disappeared, we see that (x-3)(x+3) is simply X^2-(3)^2, the two squares being X and 3, which is why it is called the difference of two squares.

Of course, the same thing would result if we were doing (x+3)(x-3) since multiplication is commutative.

Now, to offer more examples:

(x+4)(x-4)= (x^2-4^2)=(x^2-16)

(x+9)(x-9)=(x^2-9^2)=(x^2-81)

And so on, from here on, the patern is too clear and it would be too much repetition to go on.

Article Source: http://Education.50806.com/

Author By Ann R Knapp

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Orignal From: Math Tutorial - Finding the Greaquiz Common Factor and Factoring Squares