| Exam Board | Edexcel |
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| Module | PMT Mocks (PMT Mocks) |
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| Topic | Factor & Remainder Theorem |
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| Type | Remainder condition |
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2.
$$f ( x ) = ( 2 x - 3 ) ( x - k ) - 12$$
where \(k\) is a constant.
a.Write down the value of \(\mathrm { f } ( k )\)
When \(\mathrm { f } ( x )\) is divided by ( \(x + 2\) ) the remainder is - 5
b. find the value of \(k\).
c. Factorise \(\mathrm { f } ( x )\) completely.