What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Step-by-step explanation:

We are given quadratic equations as

and it can be factored as

now, we can multiply factor term

now, we can compare

so, we get

we are given that

'a' and 'b' are integers

so, we can find all possible factors

so, we can find k

At :

we can plug values

At :

we can plug values

At :

we can plug values

At :

we can plug values

So, values of k are

47

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