Algebra 2
posted by Brandon on .
Use the factor theorem to determine whether the binomial is a factor of the given polynomial.
1. t+sqrt2; P(t)=t^5+t^4+4t+4
2. zi; P(z)=z^7+z^6+z^5+z^4+z^3+z^2+z+1
3. z+2i; P(z)=z^3+z^2+4z+4
Thanks

1. P(sqrt2)=4sqrt2+44sqrt2+4 No
2. P(i)=i1+i+1i1+i+1=0 Yes
3. P(2i)=8i48i+4=0 Yes