Question

verify whether -1 and3/2 are zeros odf the polynomial p(x)=2x^3 -9x^2+x+12

Answer 1

p(x)=2x^2-9x^2+x+12.
p(-1)=2(-1)^3 -9(-1)^2 -1+12.
p(-1)=-2-9-1+12.
p(-1)=-11+11
p(-1)=0.
Hence -1 is zero of p(x).

p(3/2)=2(3/2)^3-9(3/2)^2+3/2+12.
p(3/2)=-54/4+54/4.
p(3/2)=0.
Hence 3/2 is also zero of p(x).