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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

Verified Answer :

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:

\(x^2-x+1\)

Step-by-step 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 =\(p(x)\)

\(\frac{x^4-3x^2+4x-3}{p(x)}=x^2+x-3\)

\(p(x)=\frac{x^4-3x^2+4x-3}{x^2+x-3}\)

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

Answer: \(x^2-x+1\)

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