Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 + 4xy − 48y2 = 2(x + By)(x − 4y)

B = 6

Step-by-step explanation:

2x^2 + 4xy − 48y^2

Factor out 2

2(x^2 + 2xy − 24y^2)

What 2 numbers multiply to -24 and add to 2

-4 *6 = -24

-4+6 = 2

2 ( x+6y)( x-4y)

Step-by-step explanation:

They are two way to solution.

Factor the polynomial on the left side of the equation:

Therefore:

Multiply everything on the right side of the equation using the distributive property and FOIL:

Compare polynomials:

From here we have two equations:

       add 8 to both sides

        divide both sides by 2

         divide both sides by (-8)

The results are the same. Therefore B = 6.