Answer:
Answer will be x-1
Step-by-step explanation:
We have given polynomial [tex]2x^2+3x+1[/tex] and [tex]2x^3+x^2-2x-1[/tex]
We have to find the polynomial that when the polynomial is multiplied with l [tex]2x^2+3x+1[/tex] it gives [tex]2x^3+x^2-2x-1[/tex]
When we divide [tex]2x^3+x^2-2x-1[/tex] by [tex]2x^2+3x+1[/tex] we get the x-1
As [tex]\frac{2x^3+x^2-2x-1}{2x^2+3x+1}=x-1[/tex]
So [tex]{2x^3+x^2-2x-1}={2x^2+3x+1}\times( x-1)[/tex]
So the polynomial will be x-1
