P(x) = 3(x^2 + 10x + 5) - 5(x - k) in the polynomial p(x) defined above, k is a constant. if p(x) is divisible by x, what is the value of k?

The value of k if the given polynomial is divisible by x is -3

Given the polynomial function expressed as P(x) = 3(x^2 + 10x + 5) - 5(x - k)

First, we need to expand the given function as shown:

For the given polynomial to be divisible by x, the constant term of the expression must be zero to have:

Hence the value of k if the given polynomial is divisible by x is -3

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