Factoring of polynomials

Factoring of polynomials:Factoring of polynomials is the reverse process of multiplying polynomials.When we factor a real number, First we are getting for prime factors for real number that multiply together to give the same real number.For example, 32 = 4 x 4 x 2.When we are going to factor a polynomial, First we need to look for simpler polynomial expressions which are multiplied each other and give the same polynomial expression what we started with.For example, 3x2 + 9x = 3x(x + 3).Let us learn Examples on factoring polynomials.Problem 1:Factor the polynomial expression: x2 – 25.Solution:The given polynomial expression is x2 – 25.

Factoring it,

x2 – 25

= x2 – 52

This is in the form of a2 – b2 = (a + b) (a – b)

So,

= (x + 5)(x – 5)

Therefore, the factors are (x + 5)(x – 5).

Solving it,

x + 5 = 0

x = - 5

x - 5 = 0

x = 5

Therefore, Solutions are x = 5 , - 5.Let us learn in brief about Factoring Polynomials by Grouping.Factoring polynomials by grouping method is used for the expressions containing more than three terms.Hope you like the above example of Factoring of Polynomials.Please leave your comments, if you have any doubts.