The HCF of two polynomials p(x) and q(x) using long division method was found in two steps to be ...

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The HCF of two polynomials p(x) and q(x) using long division method was found in two steps to be 3 x-2, and the first two quotients obtained are x+2 and 2 x+1. Find p(x) and q(x). (The degree of p(x) the degree of q(x)).
(a) p(x)=6 x^3+11 x^2+x+6, q(x)=6 x^2+x+2
(b) p(x)=6 x^3+11 x^2-x+6, q(x)=6 x^2-x+2
(c) p(x)=6 x^3-11 x^2+x-6, q(x)=6 x^2-x-2
(d) p(x)=6 x^3+11 x^2-x-6, q(x)=6 x^2-x-2

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