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`?

Question

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`?

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

To find the value of k, we need to factor the expression a^2 + 10a + 16.

We can factor the expression by finding two numbers that multiply to 16 and add up to 10. The two numbers are 8 and 2.

Therefore, the factored form of the expression is (a + 8)(a + 2).

So, the value of k is 2.