TMUA 2021 Paper 2 Question 9
P2·Differentiation, Logic & Quantifiers·6.5Official · 2021 · Q9
sufficiencypolynomial-rootssign-change
Consider the following statements about a polynomial :
I
, where .
II
There is a real number for which .
III
There are real numbers and for which .
Which of these statements is/are sufficient for the equation to have a real solution?
| Statement I is sufficient | Statement II is sufficient | Statement III is sufficient | ||
|---|---|---|---|---|
| A | Yes | Yes | Yes | |
| B | Yes | Yes | No | |
| C | Yes | No | Yes | |
| D | Yes | No | No | |
| E | No | Yes | Yes | |
| F | No | Yes | No | |
| G | No | No | Yes | |
| H | No | No | No |
Discussion
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