Question

how to factorise and in factorise also used and explain spilting the middle term

Answer 1

We will factorise the quadratic expression: 2x² + 3x - 5 to demonstrate the technique. Here are the steps:

(a) Split the first term into two factors with the variable in each one:

2x²  =  2x ´ x

(b) Split the last term into two factors:

-5  =  -1 ´ 5

(c) Write the factors like this:

term 1

term 3

2x

-1

x

5

(d) Multiply the factors in opposite corners and add the two answers, these may be the two factors for splitting the middle term:

term 1

term 3

2x

-1

x

5

 2x ´ 5 + x ´ -1 = 10x - x
                                                       = 9x

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