From the following polynomials,find out which | vedclass

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

Question

(A) To determine if $(x+1)$ is a factor of the polynomial $p(x) = x^{3} + 10x^{2} + 23x + 14$,we use the Factor Theorem.According to the Factor Theore

Vedclass · Accepted Answer

Yes

Vedclass · Answer

(A) To determine if $(x+1)$ is a factor of the polynomial $p(x) = x^{3} + 10x^{2} + 23x + 14$,we use the Factor Theorem.According to the Factor Theorem,$(x+1)$ is a factor of $p(x)$ if $p(-1) = 0$.Substitute $x = -1$ into the polynomial:$p(-1) = (-1)^{3} + 10(-1)^{2} + 23(-1) + 14$$p(-1) = -1 + 10(1) - 23 + 14$$p(-1) = -1 + 10 - 23 + 14$$p(-1) = 9 - 23 + 14$$p(-1) = -14 + 14 = 0$Since $p(-1) = 0$,$(x+1)$ is indeed a factor of the given polynomial.

From the following polynomials,find out which of them has $(x+1)$ as a factor:
$x^{3} + 10x^{2} + 23x + 14$

Similar Questions

Factorise: $x^{3}+x^{2}-4x-4$

Determine whether $(x+1)$ is a factor of the polynomial $p(x) = x^{3} - 2x^{2} - 5x + 6$.

$x-1$ is one of the factors of $p(x) = x^3 - 3x^2 + 7x - 5$. Which of the following is a factor of $p(x) = x^3 - 3x^2 + 7x - 5$?

Factorise $: 4 x^{2}+4 x y-3 y^{2}$

If $(x-1)$ is a factor of $x^{3}+7x^{2}+ax-3$,then find the value of $a$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

From the following polynomials,find out which of them has $(x+1)$ as a factor:$x^{3} + 10x^{2} + 23x + 14$