Answer:
29
Step-by-step explanation:
If the real coefficients that has the given zeros are -1 and 3 - 4i, this means -1 and 3-4i are both roots of the polynomial. If their equivalent polynomial function is given as;
P(x) = x³-5x²+kx+25 = 0
Where k is the unknown coefficient.
To get the value of k, we will substitute any of the zero values of the polynomial into the polynomial to have;
P(-1) = (-1)³-5(-1)²-k+25 = 0
P(-1) = -1+5-k+25
P(-1) = 29-k = 0
29-k = 0
k = 29
The coefficient that belongs to the blank is 29
