Q. 6

# Divide p(x) = x3 — 4x2 + 5x — 2 by x — 2 Find r(x).

Here the dividend polynomial p(x) = x3 — 4x2 + 5x — 2

and the divisor polynomial s(x) = x – 2

Coefficients of x3, x2, x and x0 in the dividend polynomial are 1, –4, 5 and –2 respectively.

Equating divisor polynomial x – 2 to 0, we get x = 2. The reminder obtained when the cubic polynomial x3 — 4x2 + 5x — 2 is divided by x–2 is r(x) = 0.

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