Knowee
Questions
Features
Study Tools

Given the trinomial, what is the value of the coefficient B in the factored form?2x2 − 12xy − 32y2 = 2(x − 8y)(x + By)Group of answer choices−4−224

Question

Given the trinomial, what is the value of the coefficient B in the factored form?

2x212xy32y2=2(x8y)(x+By) 2x^2 - 12xy - 32y^2 = 2(x - 8y)(x + By)

Group of answer choices
−4
−2
−24

🧐 Not the exact question you are looking for?Go ask a question

Solution

The coefficient B in the factored form of the trinomial 2x2 − 12xy − 32y2 = 2(x − 8y)(x + By) is -4. This is because when you expand the factored form, you get 2x^2 - 16xy - 4y^2. Comparing this with the original trinomial, you can see that the coefficient of xy in the expanded form (-16) is equal to the coefficient of xy in the original trinomial (-12) divided by the coefficient of x^2 in the original trinomial (2). Therefore, B = -4.

This problem has been solved

Similar Questions

What is the factorization of the trinomial below?12x2 - x - 35A.(6x - 7)(x + 5)B.(6x + 7)(x - 5)C.(4x - 7)(3x + 5)D.(4x + 7)(3x - 5)SUBMITarrow_backPREVIOUS

Determine the coefficient, a, for the term ax5y7 of the binomial expansion of (2x+y)12.

Factor completely 2x2 + 2x − 12. 2(x − 3)(x + 4) 2(x − 2)(x + 3) (2x − 4)(x + 3) (2x − 3)(x + 4)

Which of the binomials below is a factor of this expression?121A2 - 64B2A.11A + 8BB.121A + 8BC.11A + 32BD.121A + 32BSUBMITarrow_backPREVIOUS

What are the leading coefficient and degree of the polynomial?−8−2y−10y718y5Leading coefficient: Degree:

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.