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SingaporeAdditional Mathematics

Algebra: Surds, Indices and Polynomials

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do the laws of indices let us simplify expressions with positive, negative, zero and fractional powers?

How do the remainder and factor theorems let us find remainders and factors of a polynomial without long division?

How do we solve a cubic equation by combining the factor theorem with factorisation of the resulting quadratic?

How do we simplify expressions containing square roots and remove surds from a denominator?