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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

Respuesta :

Hagrid
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
lublana

Answer:

[tex]x^2-x+1[/tex]

Step-by-step explanation:

We are given that

Dividend=[tex]x^4-3x^2+4x-3[/tex]

Quotient=[tex]x^2+x-3[/tex]

We have to find the divisor.

Let the polynomial =[tex]p(x)[/tex]

[tex]\frac{x^4-3x^2+4x-3}{p(x)}=x^2+x-3[/tex]

[tex]p(x)=\frac{x^4-3x^2+4x-3}{x^2+x-3}[/tex]

Hence, the polynomial [tex]=p(x)=x^2-x+1[/tex]

Answer: [tex]x^2-x+1[/tex]

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