Question

the polynomial which when divided by ( -x² + x- 1) gives a question (x -2 )and remainder 3 is--​

Answer 1

Answer:

-x³+3x²-3x+5

Explanation:

hope it is useful

Answer 2

Answer:

$the \: polynomial \: is \: = > \\ ( - x {}^{3} + 3x {}^{2} - 3x + 5)$

Explanation:

$quotient = (x - 2) \\ remainder =3 \\ divisor = ( - x {}^{2} + x - 1) \\ dividend = quotient \: \times divisor \\ \: \: \: \: \: \: \: \: \: \: \: + remainder \\ = (x - 2)( - x {}^{2} + x - 1) + 3 \\ = ( - x {}^{3} + x {}^{2} - x + 2x {}^{2} - 2x + 2) + 3 \\ = > ( - x {}^{3} + 3 x {}^{2} - 3x + 5)$