Question

4) Determine (x + 1) is a
factor of x³ + x ²+ x + 1​

Answer 1

$\huge{\red{\mathtt{\underline{Answer:}}}}$

$\mathtt{By\:remainder\:theorm,}$

$\mathtt{x+1=0}$

$\mathtt{x=-1}$

$\mathtt{Put\:x = - 1 \:in \:given \:eqñ .}$

—» $\mathtt{{-1}^{3} + {-1}^{2} + (-1) + 1 }$

—» $\mathtt{0}$

Hence it is x + 1 is a factor of given eqñ