Factorise 4x^2 +20x +9
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coefficient of x^2 = 4
variable coefficient = 9
we have to two numbers such that their product is equal to. the product of 9 and 4and their sum is equal to 20 ( coefficient of x)
such two numbers are 2 and 18
now will now split 20x in form of sum of 18 and 20
= 4x^2 + 2x + 18x + 9
= 2x ( 2x + 1) + 9 ( 2x + 1) ( taking common factor )
= (2x + 9)(2x+1) (taking 2x+1 as common)
therefore it's factor are 2x +9 and 2x +1
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