Question

if k is a zero of the polynomial (x⁶-kx⁵+2x⁴-2kx³+3x-k+2) find k​

Answer 1

Answer:

p(x)=x^6-kx^5 +2x⁴-2kx³+3x-k+2

p(k)=0

put value of x

p(k)=k^6 -k(k^5)+2k⁴-2k(k³)+3k-k+2=0

p(k)=k^6-k^6+2k⁴-2k⁴+2k+2=0

p(k)=2k+2=0

k=-2/2

k=-1

hope it helps