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)
26 August, 17:12
B = 2
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)
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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» 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