Question 1: Factorize x 2 − 7 x + 12

Question 1: Factorize x 2 − 7 x + 12

Factorization exercises —

Solution:

Given  types of mathematical expressions  is;

x^2+px+q

i-e;

x^2-7x+12

or

x^2+(-7x)+12

To factorize it we make two parts of the term -7x in a way that if two parts are added together they will give us -7x — and if we multiply these two parts , their product will be 12x^2.

i-e -7x can be divided into -3x and -4x such that ;

1- when added i-e;

(-3x)+(-4x) = -3x-4x=-7x

2- when multiplied such that;

(-3x)(-4x) = 12x

So to factorize the type of mathematical expression we can write;

x^2-7x+12

=x^2-3x-4x+12

taking x common from first two terms and -4 from last two terms;

=x(x-3)-4(x-3)

Can be written as;

=[x(x-3)-4(x-3)]

Now (x-3) can be taken as common;

i-e

=(x-3)[x-4]

or

=(x-3)(x-4)

 

 


 

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