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DPiD Maths Mock Set 1 Paper 1 · Q18

Paper 1Algebra

Let p(x)p(x) and q(x)q(x) be two cubic polynomials such that p(0)=−6p(0)=-6, q(0)=10q(0)=10, and p(q(x))=q(p(x))p(q(x))=q(p(x)) for all real numbers xx. Find the ordered pair (p(2),q(4))(p(2),q(4)).

A(2,−6)(2,-6)
B(−6,2)(-6,2)
C(2,6)(2,6)
D(−6,10)(-6,10)
E(6,−6)(6,-6)
F(2,−10)(2,-10)
G(−2,6)(-2,6)
H(10,−6)(10,-6)

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