Question

Find out the polynomial which when divided by (-x^2 +x-1)gives a quotient (x-2) and remainder 3

Answer 1

Hey


Given :-

• Divisor = ( -x² + x - 1 )

• Quotient = ( x - 2 )

• Remainder = 3

So ,

the required polynomial =

dividend = divisor * quotient + remainder

=> dividend

= ( - x² + x - 1 ) * ( x - 2 ) + 3

= x ( - x² + x - 1 ) -2 ( -x² + x - 1 ) + 3

= -x³ + x² - x + 2x² - 2x + 2 + 3

= -x³ + x² + 2x² -2x - x + 5

= ( -x³ + 3x² - 3x + 5 )


so , the required polynomial is

( -x³ + 3x² - 3x + 5 )



thanks :)

Answer 2

Absolutely correct answer