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Introduction to algebra factorising:

In algebra equations factorisation is one of the important method. Factorisation gives the x values of the given algebraic equations. Factoring the equations gives the desired value of the function. It is very easy and simple. General form of the algebraic equation can be written as, ax² + bx + c. In factorisation, we find two or more factor values. Quadratic equations are mainly used for factorising process.

Problems - Algebra Factorising

Find the factor value of the given quadratic equation x² - 2x - 35 = 0

Solution:

Given quadratic equation is x² - 2x - 35 = 0

Also Look for useful information roots of quadratic equation

First, we have find the two numbers that add to be give the value of (- 2) and give the product of (- 35).

For in this case, that two numbers are - 7, 5. So we exchange - 2x as (- 7x + 5x)

Therefore, the given equation can be rearranged and written as,

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

Then, group the first two terms and second two terms

(x² - 7x) + (5x - 35) = 0

Take the biggest common number from the group, we get

x (x - 7) + 5 (x - 7) = 0

(x + 5) (x - 7) = 0

Separately equate the two values to zero, we get

x + 5 = 0, x - 7 = 0

x = - 5, 7

Answer:

The factors are x = - 5, 7

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