Question

The expression `a^{2}+10a+16` can be written in factored form as `\left(a+8\right)\left(a\ +\ k\right)`, where `k` represents a number. What is the value of `k`?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of `k`, we need to find the factors of the expression `a^2 + 10a + 16` that fit the form `\left(a+8\right)\left(a\ +\ k\right)`.

Given expression: `a^2 + 10a + 16`

This can be factored as:

`(a + 8)(a + 2)`

So, the value of `k` is `2`.