Question

1. Determine which of the following polynomials has (x + 1) a factor :
(i) x³+x²+x+1​

Answer 1

Answer is x^2+1 so please mark it's brainlist.

Answer 2

$\huge\mathfrak\pink{\underline{\underline{Answer :-}}}$

p(x) = x³ + x² + x + 1

g(x) = x+1

$\textsf{\underline{\underline{To\:find\:zero\:of\:polynomial :-}}}$

g(x) = 0

x + 1 = 0

$\huge{\boxed{\boxed{x=-1}}}$

Put x = -1 in p(x)

p(x) = x³ + x² + x + 1

p(-1) = (-1)³ + (-1)² + (-1) + 1

= -1 + 1 - 1 + 1

p(-1) = 0

p(-1)=0

$\therefore$g(x) is a factor of p(x).