Find a polynomial with real coefficients that has the given zeros. -1 and 3 - 4i One such polynomial P(x) can be defined as P left parenthesis x right parenthesis equals x cubed minus 5 x squared plus _ _ _ x plus 25. What coefficient belongs in the blank?

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

5x+10 is the correct one

hope this

i believe the correct answer is b.