Question

is x+1 factor of 3x³ +3​

Answer 1

Answer:

$(x+1)$ is a factor of $3x^3+3$

Step-by-step explanation:

Consider a polynomial P(x). A linear polynomial $(x-a)$ is a factor of $P(x)$ if and only if $P(a)=0$.

Here, we have the polynomial,

$P(x)=3x^3+3$

$(x+1)$ is a factor if and only if $P(-1)$ is 0.

$P(-1)=3\times (-1)^3+3=3\times (-1)+3=-3+3=0$

Hence $(x+1)$ is a  factor of $3x^3+3$.