501.On dividing the polynomial 10x4 – 6x3 – 40x2 + 41x – 5 by the polynomial g(x), the quotient is 5x - 3 and remainder is 2x + 4. Find the polynomial g(x).
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502.Find the zeroes of the quadratic polynomial f(x,) = abx2 + (b2 –ac) x– bc and verify the relationship between the zeroes and its coefficients.
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503.Divide the polynomial p(x) by the polynomial g(x) and find the quotient and reaminder in the following: p(x) = x2 + 5x + 7, g(x) = x + 2
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