Question

check whether x+1 is a factor of 2x^4+3x^3-x^2+5​

Answer 1

Answer:

$(x+1)$ is not a factor of $2x^4+3x^3-x^2+5$

Step-by-step explanation:

For a linear polynomial $(x-a)$ to be a factor of a polynomial $Q(x)$, $Q(a)$ should be zero.

The polynomial given in the question is,

$Q(x)=2x^4+3x^3-x^2+5$

$(x+1)$ is a factor of $Q(x)$ if and only if $Q(-1)=0$.

$Q(-1)=2\times (-1)^4+3\times (-1)^3-(-1)^2+5\\\\=2\times 1+3\times (-1)-1+5=2-3-1+5=3$.

Since   $Q(-1)\neq 0$, $(x+1)$ is not a factor of $2x^4+3x^3-x^2+5$.