Test your understanding of Vieta's formulas, symmetric identities, and reducible polynomials.
Its question set has not been written, so there is nothing here to attempt. Nothing you have done is lost, and the lessons either side of it are unaffected.
To test yourself on this material now, use the module quiz, which covers the same content.
1. For $2x^2-5x+3=0$, find the sum and product of the roots. (2 marks)
2. If $\alpha,\beta,\gamma$ are roots of $x^3-2x^2+4x-1=0$, find $\alpha+\beta+\gamma$ and $\alpha\beta\gamma$. (2 marks)
3. If $\alpha,\beta$ are roots of $x^2-3x+2=0$, find $\alpha^3+\beta^3$. (2 marks)
4. Factorise $x^4-10x^2+9$ over the reals. (3 marks)