Question

Factorise 4x^2 +20x +9

Answer 1

Follow the above steps

Answer 2

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