These Further Maths roots of polynomials, series and Maclaurin multiple choice questions check your understanding of roots of polynomials, series and Maclaurin with 10 questions for pupils aged 16-18. Each question has four answers, and the right one is explained as soon as you choose.
Further Maths roots of polynomials, series and Maclaurin multiple choice questions: the 10 questions
The product of the roots of \(2x^3-5x^2+x-8=0\) is:
If \(\alpha+\beta=3\) and \(\alpha\beta=-2\) then \(\alpha^2+\beta^2=\)
\(\sum_{r=1}^{10}r=\)
\(\sum_{r=1}^{3}r^3=\)
The Maclaurin series of \(\cos x\) begins:
The series for \(\ln(1+x)\) is valid for:
For \(\sum_{r=1}^n\left(\frac1r-\frac1{r+1}\right)\) the sum is:
If the roots of \(f(x)=0\) are \(\alpha,\beta\), the equation with roots \(\alpha-2,\beta-2\) is found with the substitution:
The coefficient of \(x^2\) in the Maclaurin series of \(e^{3x}\) is:
The Maclaurin series of \(\sin x\) up to \(x^3\) is:
How to use these Further Maths roots of polynomials, series and Maclaurin multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the roots of polynomials, series and Maclaurin lesson.
Finally, practise more with the roots of polynomials, series and Maclaurin worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.
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