Question

factor theorem to determine whether g(x) is a factor of p(x) in each of the following cases:
a) p(x)= 2x3+x2-2x-1,g(x)=x+1​

Answer 1

Answer:

p(x)=2x³+x²-2x-1

x+1=0,..x=-1

p(-1)=2(-1)³+(-1)²-2(-1)-1

p(-1)=2(-1)+1+2-1

p(-1)=-2+3-1

p(-1)=0

if g(x)=0,then it is the factor of p(x)