The expression a2+10a+16 can be written in factored form as a+8a + k, where k represents a number. What is the value of k?
To find the value of k, we need to factor the given expression a^2 + 10a + 16.
The factors of 16 that add up to 10 are 8 and 2. So, we can write the expression as:
a^2 + 8a + 2a + 16
Then, we can factor by grouping:
a(a + 8) + 2(a + 8)
Since both terms have a common factor of (a + 8), we can factor out the common factor:
(a + 8)(a + 2)
Therefore, the factored form of a^2 + 10a + 16 is (a + 8)(a + 2).
So, the value of k is 2.