2.

**Solve for p, q and r:****3x**^{2}+ 6x – 4 ≡ p(x –q)^{ 2}+ r [3]3. The polynomial P(x) =

*x*^{3}+ ax^{2}+ bx – 3 has a remainder of 27 when divided by*x*– 2, and a remainder of 3 when divided by*x*+ 1. Calculate the remainder when P(x) is divided by*x*– 1. [4]4. Is 2x – 3 a factor of 3

*x*^{3}+ 2x^{2}– 7x + 2? [2]5. Solve the equation 2

*x*^{3}+ 3*x*^{2}– 32*x*+ 15 = 0. [6]
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