Question

Dado o polinômio P(X)= X^4+5x^2+kx-9 deternube k savebdi qye P(2)= P(0)

Answer 1

P(X)= X^4+5x^2+kx-9
P(2)= 2^4+5.2^2+k.2-9
P(2)= 16+5.4+2k-9
P(2)= 16+20+2k-9
P(2)= 27+2k

P(0)= 0^4+5.0^2+k.0-9
P(0)= 0+0+0-9
P(0)= -9

P(2)=P(0)
27+2k=-9
2k=-9-27
2k=-36
k=-36/2
k=-18