Question

check wether x+1 is a factor of 2(x)^3+x^2-2x-1​

Answer 1

put x+1=0

x= -1

check whether -1 is the factor of equation by putting it in place of x . if answer comes zero then x+1 is the factor of 2x³+x²-2x-1

Answer 2

Answer:

$x + 1 = 0 \\ x = - 1 \\ \blue{ \underline{\mathfrak{\large{put \: x=-1 \: in \: the \: equation }}} :}\\ 2 {x}^{3} + {x}^{2} - 2x - 1 \\ = 2 { (- 1)}^{3} + {(1)}^{2} - 2( - 1) - 1 \\ = - 2 + 1 + 2 - 1 \\ = 0 \\ \red{\mathfrak{\large{Therefore, \: x + 1 \: is \: the \: factor \: of }}} \\ \red{\mathfrak{\large{of \: 2 {x}^{3} + {x}^{2} - 2x - 1}}} \\ \\ \purple{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \orange{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$