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2. Polynomials
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Q6 of 64 Page 49

Divide 2x3 + 3x2 — 11x — 6 by x2 + x — 6

Here, dividend polynomial = p(x) = 2x3 + 3x2 — 11x — 6


and divisor polynomial = s(x) = x2 + x — 6



Thus, the quotient polynomial q(x) = 2x + 1 and the reminder polynomial r(x) = 0.


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—4 and 9 are the sum and product of the zeros respectively of a quadratic polynomial. Find the quadratic polynomial.

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Find q(x) and r(x), for the quadratic polynomial p(x) = 11x — 21 + 2x2 when divided by 1 + 2x

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Questions · 64
2. Polynomials
1 2 3 4 5 5 5 5 6 6 6 6 7 1 1 1 1 2 3 4 5 1 2 2 2 2 2 2 3 4 4 4 5 1 1 1 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 10 10 10 10 10 10 10 10
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