Solving Algebraic Expression using Factorizing Method

Topic : Factorizing Method

Factorization is an important method of solving any given algebraic expression and finding the roots of a variable in the given equation. Method includes taking out any common factor in the expression.

For example: If you are asked to factorize x² + x,
Since x is a common term we can simplify the given expression as
x (x + 1)

Question: Solve the numeric and algebraic operations
given below

    - 7
--------------
(x - 5)(x + 3)

Answer:

      - 7
= --------------
 (x - 5)(x + 3)

We can factorize the denominator,
x² - 2x -15
- 5 * 3 = - 15
- 5 + 3 = - 2

      - 7
= --------------
 (x - 5)(x + 3)

if x = 5
Then the fraction is -7/0

if x = - 3
Then the fraction is -7/0

The excluded values are x = 5 and x = 3