Given f(x)=x^2+kx-19 and the remainder when f(x)is divided by x-7 is −5, then what is the value of kk?

Polynomial Remainder Theorem:

If we divide a polynomial f(x) by a factor (x – a), then the remainder will be f(a).

In your case, the remainder from dividing by (x-7) will be f(7)

    f(7) = (7)^2 + k(7) -19

          = 49 + 7k -19

          = 30 + 7k

If you want the remainder to be -5, when set 30+7k equal to -5 and solve:

     30 + 7k = -5

             7k = -35

               k = -5

20335+282=20617

step-by-step explanation:

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step-by-step explanation: