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2. Polynomials
medium
$x^{4}+x^{3}-2 x^{2}+x+1$ को $x-1$ से भाग देने पर प्राप्त शेषफल ज्ञात कीजिए।
A
$2$
B
$3$
C
$4$
D
$5$
Solution
Here, $p(x)=x^4+x^3-2x^2+x+1$, and and the zero of $x -1$ is $1.$
So, $p(1)=(1)^{4}+(1)^{3}-2(1)^{2}+1+1$
$= 2$
So, by the Remainder Theorem, $2$ is the remainder when $x^{4}+x^{3}-2 x^{2}+x+1$ is divided by $x-1$.
Standard 9
Mathematics
