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Re: (3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ? [#permalink]
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Bunuel wrote:
(3x + 2) (2x - 5) = ax^2 + kx + n . What is the value of a - n + k ?

A. 5
B. 8
C. 9
D. 10
E. 11


Given: \((3x + 2)(2x - 5) = ax^2 + kx + n\)
Use FOIL to expand the left side: \(6x^2 - 15x + 4x - 10 = ax^2 + kx + n\)
Simplify: \(6x^2 - 11x - 10 = ax^2 + kx + n\)
At this point we can see that \(a=6 \), \(k = -11\), and \(n = -10\), which means \(a - n + k = 6 - (-10) + (-11) = 5\)

Answer: A
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Re: (3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ? [#permalink]
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