Question

on dividing a polynomial by polynomial minus x square + X - 1 the quotient and the reminders were x minus 2 and 3 respectively find the polynomial​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :

Given polynomial :

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

Quotient :

=x - 1

Remainder :

=3

To Find :

The dividing polynomial =?

Solution :

∴We know that :

Dividend = ( Divisior $\times$ Quotient ) + Remainder

So , the required polynomial f(x) is :

$f(x) = (-x^{2} +x - 1)(x -2) +3$

        $= -x^{3}+2x^{2} + x^{2} -2x - x + 2 + 3$

        $= -x^{3} + 3x^{2} - 3x + 5$

So the required polynomial is :

$f(x) = (-x^{2} +x - 1)(x -2) +3$