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