Question

EXERCISE 24
1. Determine which of the following polynomials has (x+1) factor

1) x cube + x square + x + 1​

Answer 1

Answer:

x³+x²+x+1

=x²(x+1)+1(x+1)

=(x+1)(x²+1)

(x+1) is a factor of (x³+x²+x+1)

I hope it will help you.

Answer 2

Step-by-step explanation:

p(x)=x³+x²+1

g(x)=x+1

x=-1

p(-1)=(-1)³+(-1)²+1

=-1+1+1

=1

no, (x+1)is not factor of x³+x²+1