Question

Given the trinomial, what is the value of the coefficient 'B' in the factored form? 2x2 − 12xy − 32y2 = 2(x − 8y)(x + By) B= ____________ Numerical Answers Expected! Answer for Blank 1:

Answer 1

Just factor the equation.
$2x^2-12xy-32y^2$
2 numbers to add up to -12 and multiply to -64 because of 2*-32.
$=2x^2+4xy-16xy-32y^2$
Simplify.
$=2x(x+2y)-16y(x+2y)$
Simplify even more with distributive property in your favour.
$=(2x-16y)(x+2y)$
Simplify.
$=2(x-8y)(x+2y)$