Find the remainder when x^4+x^3-2x^2+x+1 is d | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let $p(x) = x^4+x^3-2x^2+x+1$.According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x-a)$,the remainder is $p(a)$.Here,the div

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) Let $p(x) = x^4+x^3-2x^2+x+1$.According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x-a)$,the remainder is $p(a)$.Here,the divisor is $x-1$,so $a = 1$.Now,calculate $p(1)$:$p(1) = (1)^4 + (1)^3 - 2(1)^2 + 1 + 1$$p(1) = 1 + 1 - 2(1) + 1 + 1$$p(1) = 1 + 1 - 2 + 1 + 1$$p(1) = 2$.Therefore,the remainder is $2$.

Find the remainder when $x^4+x^3-2x^2+x+1$ is divided by $x-1$.

Similar Questions

Factorise the following: $64 m^{3} - 343 n^{3}$

Find the following products using appropriate identities:
$(i) (x + 3) (x + 3)$
$(ii) (x - 3) (x + 5)$

Find the remainder when $x^{3}-ax^{2}+6x-a$ is divided by $x-a$.

Factorise the following using appropriate identities: $9x^{2}+6xy+y^{2}$

Factorise $y^2 - 5y + 6$ by using the Factor Theorem.

Vedclass Test Series

Exam Paper Generator

Online Exam Module