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SingaporeAdditional MathematicsQuick questions

Algebra: Surds, Indices and Polynomials

Quick questions on Solving cubic and polynomial equations explained: O-Level A-Maths

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the zero-product principle?
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The whole method rests on one fact: a product is zero only if one of its factors is zero. So if
What is sign errors in the division?
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Check the quotient by expanding it back; a wrong quotient gives wrong further roots.
What is q1?
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Solve (x−1)(x+4)(x−2)=0(x - 1)(x + 4)(x - 2) = 0. [1 mark]
What is q2?
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Given that x=1x = 1 is a root, solve x3−3x+2=0x^3 - 3x + 2 = 0. [3 marks]
What is q3?
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Solve x3−7x−6=0x^3 - 7x - 6 = 0. [4 marks]

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