Question

(3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ?
A) 4
B) 1
C) 5
D) 3

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$

$<b>$
Here is your answer.
$(3x + 2)(2x - 5) \\ = 3x(2x - 5) + 2(2x - 5) \\ = 6x {}^{2} - 15x + 4x - 10 \\ = 6x {}^{2} - 11x - 10 \\ = ax {}^{2} + kx + n$
On comparing
a = 6
k = -11
n = -10
Now we can calculate
$a - n + k \\ = 6 - ( - 10) - 11 \\ = 6 + 10 - 11 \\ = 5$
so Option (C) 5 is your answer

$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:ut\: helps\: you}}}}}}}}}}}}}}}$

Answer 2

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

A) 4

B) 1✓✓✓✓✓✓

C) 5

D) 3