Find k if (x+6) is a factor of the polynomial
f(x) = 2x4 + 9x3 – 17x2 + kx – 12k

The value of k is 2

Step-by-step explanation:

The polynomial remainder theorem

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

The function:

has a factor of (x+6).

Applying the polynomial remainder theorem for r=-6, substitute x=-6

Operating:

If x+6 is a factor, then the remainder is zero:

36 -18k=0

Subtracting 36:

-18k=-36

k=-36 / (-18)=2

k=2

The value of k is 2

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

idk

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