In each of the following questions, divide
the polynomial p by g and find the quotient
and the remainder. Find in which case g is
a factor of p.
(i) p(u) = u^3 + 3u^2 - 12u + u, g(u) = u - 2
(ii) p(x) = x^3 – 14x^2 + 37x - 60, g(x) = x - 2
(iii) ply) = y^6 + 3y^2 + 10, g(y) = y^3 + 1.
(iv) p(x) = x^5 + 5x^3 + 3x^2 + 5x + 3, g(x) = x^2 + 4x + 2
(v) p(x) = 2x^2 – 3x + 5, g(x) = x - a.
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