Question

Find a polynomial that, when multiplied by 2x²+3x+1, gives the answer 2x³+x²−2x−1.

Answer 1

Answer will be x-1

Explanation:

We have given polynomial
`2x^2+3x+1` and
`2x^3+x^2-2x-1`

We have to find the polynomial that when the polynomial is multiplied with l
`2x^2+3x+1` it gives
`2x^3+x^2-2x-1`

When we divide
`2x^3+x^2-2x-1` by
`2x^2+3x+1` we get the x-1

As
`(2x^3+x^2-2x-1)/(2x^2+3x+1)=x-1`

So
`{2x^3+x^2-2x-1}={2x^2+3x+1}*( x-1)`

So the polynomial will be x-1