The polynomial which when divided by -x square +x-1 gives the quotient x-2 and remainder 3 is
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Answered by
59
Here,
Dividend=?
Divisor=-x²+x-1
Quotient=x-2
Remainder=3
We know that,
Dividend=Divisor×Quotient+Remainder
Dividend=(-x²+x-1)(x-2)+3
Dividend=-x³+x²-x+2x²-2x+2+3
Dividend=-x³+3x²-3x+5
Hence required polynomial is
-x³+3x²-3x+5.
Dividend=?
Divisor=-x²+x-1
Quotient=x-2
Remainder=3
We know that,
Dividend=Divisor×Quotient+Remainder
Dividend=(-x²+x-1)(x-2)+3
Dividend=-x³+x²-x+2x²-2x+2+3
Dividend=-x³+3x²-3x+5
Hence required polynomial is
-x³+3x²-3x+5.
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