Question

(08.03) Given the trinomial, what is the value of the coefficient 'B' in the factored form? 2x2 − 12xy − 32y2 = 2(x − 8y)(x + By)

Answer 1

2x^2 - 12xy - 32y^2 =
2(x^2 - 6xy - 16y^2) =
2(x - 8y)(x + 2y)

so the coefficient B is 2

Answer 2

2x^2 -12xy -32 y^2
= 2 (x^2 -6xy -16y^2)
= 2 (x^2 -8xy +2xy -16y^2)
= 2 {x (x-8y)+ 2y (x-8y) }
= 2 { (x+2y)(x-8y) }



Given that:
2 { (x-8y) (x+2y)} = 2(x − 8y)(x + By)

So, B = 2