Question

A=6x^2-11x-10 then the factors of A

Answer 1

A = 6x² - 11x - 10

A = 6x² - 15x + 4x - 10

A = 3x(2x - 5) + 2(2x - 5)

A = (2x - 5)(3x + 2)





Factors of A are : (2x - 5) and (3x + 2)




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Answer 2

Heya !!!



A = 6X² - 11X - 10




★ Coefficient of X² × Constant term = 6 × -10 = -60



We try to split -60 into two parts such that their sum of Subtraction will be -11 and product will be -60.


Clearly,



-15 + 4 = -11



And,


-15 × 4 = -60


So,



6X² - 11X - 10


6X² - ( 15 - 4 )X - 10


6X² - 15X + 4X - 10


3X( 2X - 5 ) + 2 ( 2X - 5 )



( 2X - 5 ) ( 3X + 2 ) = 0






Hence,


( 2X - 5 ) and ( 3X + 2 ) are the factor of A.



★ HOPE IT WILL HELP YOU ★