FACTORIZATION
- Factorization
The process of expressing a polynomial as the product of two or more simpler polynomials
is called as factorization.
Eg. : x^2 – 4 = (x+2)(x-2)Therefore in this case x+2 and x-2 are the factors of x^2 – 4 as the product of x+2 and
x-2 is equal to x^2 – 4.
Note that x^2 – 4 is a second degree polynomial, while x+2 and x-2 are first degree
polynomials. The process of factorization is also known as the resolution into factors.The idea may be explained using the examples of multiplication and division concepts
used in abacus, followed by a demonstration of the process in factorizing.- Square root
As the concept of square root involving numbers is already known to the child, he/she
may be taught the idea of finding the square of polynomials. As the detached coefficient
method of finding square root is considered to be simpler than the usual method, the
child may be taught the detached co-efficient method first using the mathematical
board / cubarithm. Once the child is through with the detached coefficient method
the other method may also be taught.
Find the square root of 9x^4 – 42x^3 +19x^2 + 70x +25