2025 Bedok View Secondary School Prelims A Math Paper 2
The cubic polynomial \(f(x)\) is such that the coefficient of \(x^3\) is \(-2\) and the roots of \(f(x)=0\) are \(-1\), \(2\) and \(\frac{3}{2}\). Find the expression of \(f(x)\) in descending powers of \(x\).[3]
Find the quotient when \(x^3-3x^2-2x+5\) is divided by \(x^2-1\).[2]
The expression \(hx^3-7x^2+kx-2\), where \(h\) and \(k\) are constants, has a factor \(3x^2-5x-2\). Find the value of \(h\) and \(k\).[5]
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