Question

1. Find the quotient and remainder on dividing polynomial x2 - x +1 by x+1.​

Answer 1

Answer:

quotient= x-2

and reminder=3

Answer 2

Answer:

The quotient is $x-2$ and remainder is $3$.

Step-by-step explanation:

We are given polynomial that $x^{2} -x+1$.

We need to divide it by $x+1$.

A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.

Quotient is the number resulting from the division of one number by another.

The remainder is the left over after performing some calculation.

In first step,

$x^{2} -x+1=x(x+1)+(-2x+1)$

In next step,

$(-2x+1)=(x+1)(-2)+3$

So, quotient is $x-2$ and remainder is $3$.

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