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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

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## Answers ( )

The correct answer is C. 2

Step-by-step explanation:

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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