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The values of m for which the expression 2x^2+mxy+3y^2-5y-2 can be expressed as the product of 2 linear factors are+1,-1. (True or False)
It can be expressed as (2x+y+a)(x+3y+b)=0 which is 2x2 +7xy+3y2+x(2b+a)+y(3a+b)+ab=0 on comparing , we'll have 2b+a=0 ab= -2 3a+b=-5 on solving gives a = -2 and b = 1 and m = 7 so its, (2x+y-2)(x+3y+1)=0 its FALSE
It can be expressed as (2x+y+a)(x+3y+b)=0
which is
2x2 +7xy+3y2+x(2b+a)+y(3a+b)+ab=0
on comparing , we'll have 2b+a=0
ab= -2
3a+b=-5
on solving gives
a = -2 and b = 1 and m = 7
so its, (2x+y-2)(x+3y+1)=0
its FALSE
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