Question

When a polynomial is divided by another polynomial (-x²+x-1), gives a quotient (x-2) and remainder 3. Find the polynomial.​

Answer 1

Answer:

We know that

f(x) = g(x)q(x) +r(x)

= (-x² + x − 1)(x −2+3)

-x³ + x² = x + 2x² - 2x +2+3 3 =−x³ + x² - 2x² - x - 2x +2+3

−x³ + 3x².

3x + 5Therefore,

The polynomial which when divided by

-x² + x - 1 gives a quotient x 2 and remainder 3, is-x² + 3x² − 3x + 5

Step-by-step explanation:

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