(3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ?

Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ?

(3x + 2) (2x - 5) = a x 2 + k x + n ...............(1) But (3x + 2)(2x - 5) = 6 x 2 - 11 x - 10 ........(2) so by comparing (1) & (2), we get a= 6, k= -11 , n= -10 (a - n + k) = 6 + 10 - 11 = 5.

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5
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Correct Answer: 5

Explanation:

(3x + 2) (2x - 5) = $a x 2 + k x + n$ ...............(1)

But (3x + 2)(2x - 5) = $6 x 2 - 11 x - 10$ ........(2)

so by comparing (1) & (2),

we get a= 6, k= -11 , n= -10

(a - n + k) = 6 + 10 - 11 = 5.

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