The equation $\frac{x^{2}+6x-7}{x+7}=\alpha x+d$ is true for all $x\neq-7$, where $a$ and $d$ are integers. What is the value of $a+d$?

MM

Mashaal Masha

Feb 24, 2024

The equation $\frac{x^{2}+6x-7}{x+7}=ax+d$ is true for all $x\neq-7$, where $a$ and $d$ are integers. What is the value of $a+d$?

Difficulty: Hard

A:

$-6$

B:

$-1$

C:

$0$

D:

$1$

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ID: 65d992b894fbe38fff162124