Question

The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). What is the polynomial?

x4 – 2x2 + 5x – 6
x2 – x + 1
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
x4 – 4x2 + 3x

Answer 1

The right answer for the question that is being asked and shown above is that: "x2 – x + 1."The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). The polynomial is this one: x2 – x + 1

Answer 2

`x^2-x+1`

Explanation:

We are given that

Dividend=
`x^4-3x^2+4x-3`

Quotient=
`x^2+x-3`

We have to find the divisor.

Let the polynomial =
`p(x)`

`(x^4-3x^2+4x-3)/(p(x))=x^2+x-3`

`p(x)=(x^4-3x^2+4x-3)/(x^2+x-3)`

Hence, the polynomial
`=p(x)=x^2-x+1`

Answer:
`x^2-x+1`