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Operation in Quadratic Expression

Quadratic Expression and Equation

Operation in Quadratic Expression

 

As we discussed on first part about the meaning of quadratic Expression and equation, here we continue in operation:

Factorization:

Some expression may have common number or letter that multiplied by each term in it. For example in this expression 10 + 15, the common number is 5 that multiplied by 2 + 3 and obtained 10 + 5, i.e. 5(2 +3); also in 2x + 6x2, here the common number is 2x that multiplied by 1 + 3x i.e. 2x (1 + 3x). so the process of finding and factor out a number is called factorization, and vice versa is expansion.

 

Lets start with simple factorization:

 

Example:

(1) Factorize 2c + 4;

 

Solution:

2c + 4, here we don’t deal with letter c because it is found in only one term, here we deal with 2 and 4. Finding the GCF of 2 and 4, we get 2 so that is the number that should be factored out, 2(      ); by dividing each term by that number "2” we get the answer 2(c + 2).

Therefore = 2(c + 2).

Example:

(1) Factorize 9m + 3mn + 27m2;

Solution:

9m + 3mn + 27m2, our common number is 3 and common letter is m. so we get out 3m. after dividing each term by 3m we get 3 + n + 9m.

Therefore = 3m(3 + n + 9m)

 

TRY YOURSELF:

Factorize the following:

(1) 2x2 – 8;       (2) 3r + 5r2 – 2r;         (3) 14v – 7v2;

(4) rx2 – 8m;    (5) 3x + x2 – 2x;        

 

Expand the following:

(1) 2(x2 – 3m);          (2) 4c (3 + c – 2r);        (3) 5y (2y – 7); 

(4) 2fy (1 – y + 4f);    (5) t(2+5t –ft);        

up to here you will have a good idea on how to factorize simple expression;

The next tutorial we'll check how to factorize Quadratic Expression; Click here to go now.

 
Category: Lower Secondary | Added by: Admin (22/Sep/2013) | Author: Yahya Mohamed (Badshah) E W
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