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

Question

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

2×2 − 12xy − 32y2 = 2(x − 8y)(x + By)

−4
−2
2
4

in progress 0
Iris 2 weeks 2021-09-14T19:39:56+00:00 2 Answers 0

Answers ( )

    0
    2021-09-14T19:41:14+00:00

    The correct answer is C. 2

    Step-by-step explanation:

    Just took the test got a 100

    Good luck 🙂

    0
    2021-09-14T19:41:44+00:00

    Answer:

    B = 2

    Step-by-step explanation:

    Factor the left side

    2x² – 12xy – 32y² ← factor out 2 from each term

    = 2(x² – 6xy – 16y²)  

    Consider the factors of the coefficient of the y² term (- 16) which sum to give the coefficient of the xy- term (- 6)

    The factors are – 8 and + 2, since

    – 8 × 2 = – 16 and – 8 + 2 = – 6, thus

    x² – 6xy – 16y² = (x – 8y)(x + 2y)

    and

    2x² – 12xy – 32y² = 2(x – 8y)(x + 2y) ← in factored form

    Compare the factored form to the right side

    Thus B = 2

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