Question

Divide x4-3x2+4x+5 by x2-x+1. Find quotient and remiander

Answer 1

Answer:

The quotient is $x^2+x-3$ and remainder is 8.

Step-by-step explanation:

The dividend is $x^4-3x^2+4x+5$ and divisor is $x^2-x+1$.

We have to find the quotient and remainder of

$\frac{x^4-3x^2+4x+5}{x^2-x+1}$

Use long division method to divide $x^4-3x^2+4x+5$ by $x^2-x+1$.

From the given diagram it is noticed that the quotient is $x^2+x-3$ and remainder is 8.

Answer 2

Quotient is $x^2+x-3$ and remainder is 8.

Step-by-step explanation:

We need to divide $x^4-3x^2+4x+5$ by $x^2-x+1$. It means that, dividend is $x^4-3x^2+4x+5$ and divisor is  $x^2-x+1$. It can be done by long-division method.

The attached figure shows the long division method of the above question. From this, it is clear that quotient is $x^2+x-3$ and remainder is 8.

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