Question

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases :
i) p(x) = 2x3 + x2 – 2x – 1, g(x) = x+1​

Answer 1

Answer:

Given,

g(x)=x+1

x+1=0

x=-1

Now,

p(X)=2x³+x²-2x-1

p(-1)=2(-1)³+(-1)²-2(-1)-1

-2+1+2-1

=0

therefore,X+1 is a factor of 2x³+x²-2x-1