Question

Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 14xy − 36y2 = 2(x By)(x − 2y) 18 9 −9 −18.

Answer 1

The value of the coefficient B will be 9.

What will be the value of B in equation written below?

2(x+By)(x-2y)

=2(x^2 -2xy +Bxy -2By^2)

=2x^2 -4xy + 2Bxy - 4By^2

The original form is  $\d2x^{2} +14x-36y^{2}$

$2(x+By)(x-2y)\\\ =2(x^2 -2xy +Bxy -2By^2)\\\\ =2x^2 -4xy + 2Bxy - 4By^2\\\\2x^2 + 14xy - 36y^2\\\\ -36y^2 = -4By^2B= 9\\\\ -4xy +2Bxy= 14xy\\\\xy(-4 +2B)= 14xy\\\\ -4 + 2B = 14\\\\ 2B = 18\\\ B=9$

hence the value of B=9

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