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26 August, 16:13

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

2x2 - 12xy - 32y2 = 2 (x - 8y) (x + By)

-4

-2

2

4

0
Answers (1)
  1. 26 August, 17:12
    0
    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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