Question

Find the value of polynomial $x^4-x^3+x^2-x+1$ when $x=-1$

Answer 1

Finding the value of given expression at $x=-1$

By inserting the value of $x$as $-1$in the given polynomial, we get ,

$\Rightarrow x^4-x^3+x^2-x+1$

${\Rightarrow (-1)}^4-{(-1)}^3+{(-1)}^2-(-1)+1$

$\Rightarrow 1-(-1)+1-(-1)+1$

$\Rightarrow 1-(-1)+1-(-1)+1$

$\Rightarrow 1+1+1+1+1$

$\Rightarrow \mathbf{5}$

Hence, the value of the given polynomial will be $5$.