Question

g(x)is factor 2x3+x2-2x-1 g(x)=x+1​

Answer 1

Answer:yes g of x is a factor....

pls refer the below expalanation...

g(x)=x+1=0

x+1=0

x=-1

now app on p of x:

2(-1)cube+(-1)square-2(-1)-1

=-2+1+2-1

=0

hope it helps..✌

Answer 2

$g(x) = > x + 1 = 0$

$= > x = - 1$

Now ,

$f(x) = 2x {}^{3} + x {}^{2} - 2x - 1$

$\purple{putting \: the \: value \: of \: x}$

$= > 2 \times ( - 1) {}^{3} + ( - 1) {}^{2} - 2 \times ( - 1) - 1$

$= > 2 \times - 1 + 1 - 2 \times - 1 -1$

$= > - 2 + 1 - ( - 2)-1$

$= > - 2 + 3-1$

$= > 0$