Prime factors and a related quadratic

Prime factors and a related quadratic

Secondary 2
8 marks
TGM Original Questions

Optional extension

  1. Factorise \(12p^2-17p-5\).[3]
  2. Hence
    1. express \(325\) as a product of prime factors using a suitable value of \(p\), and[2]
    2. factorise \(5+17q^2-12q^4\) completely.[3]

Solution:

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Answer:(a) \((3p-5)(4p+1)\) (b)(i) \(5^2\times13\) (ii) \((5-3q^2)(4q^2+1)\).

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