By the Remainder Theorem,find the remainder w | vedclass

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

Question

(C) According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Given $g(x) = x - 3$,we set $g(x) = 0$ t

Vedclass · Accepted Answer

$62$

Vedclass · Answer

(C) According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Given $g(x) = x - 3$,we set $g(x) = 0$ to find the value of $x$:$x - 3 = 0 \Rightarrow x = 3$.Now,we substitute $x = 3$ into the polynomial $p(x)$:$p(3) = (3)^{3} - 3(3)^{2} + 4(3) + 50$$p(3) = 27 - 3(9) + 12 + 50$$p(3) = 27 - 27 + 12 + 50$$p(3) = 0 + 62 = 62$.Therefore,the remainder is $62$.

By the Remainder Theorem,find the remainder when $p(x)$ is divided by $g(x)$,where $p(x) = x^{3} - 3x^{2} + 4x + 50$ and $g(x) = x - 3$.

Similar Questions

Write the degree of the following polynomial: $x^{50}-1$.

Which one of the following is a polynomial?

Evaluate the following using suitable identities:
$(107)^{2}$

Find $p(1)$,$p(2)$,and $p(4)$ for the following polynomial: $p(y) = y^{2} - 5y + 4$.

Which of the following expressions is a polynomial? State the reason. If an expression is a polynomial,state whether it is a polynomial in one variable or not: $\sqrt{3} x^{2}+\pi x-9$

Vedclass Test Series

Exam Paper Generator

Online Exam Module