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Algebra Question 22r

22. Factorise the following quadratic expressions by completing the square.

 r)  

22. Factorise the following quadratic expressions by completing the square.

 r)  

Answer:

 r)  

22. Factorise the following quadratic expressions by completing the square.

 r)  

Solution:

 r)  

       

       

       

       

       

       

       

      Hence, the factors are       and   

      i.e.        

Steps in Factorising Quadratic Expressions by Grouping.

1. Find two numbers which multiply to give ac and add to give b,

2. Replace b by these two numbers,

3. Group them together,

4. Factorise.

 

Factor Theorem: If when , then is a factor.