Question

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

Answer 1

Answer:

The value of B is 2.

Step-by-step explanation:

The given trinomial is

$2x^2-12xy-32y^2$

Taking out the GCF.

$2(x^2-6xy-16y^2)$

The middle term can be written as -8xy+2xy.

$2(x^2-8xy+2xy-16y^2)$

$2(x(x-8y)+2y(x-8y))$

$2(x-8y)(x+2y)$

The factored form of the given trinomial is 2(x-8y)(x+2y). The given factored form of the trinomial is 2(x − 8y)(x + By). Equate both factored form.

$2(x-8y)(x+2y)=2(x-8y)(x+By)$

On comparing both the sides we get

$B=2$

Therefore the value of B is 2.

Answer 2

2x^2 − 12xy − 32y^2

= 2(x^2 - 6xy - 16y^2)

= 2(x - 8y)(x + 2y)

Answer

B = 2