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Mathematics for Data Science I · End Term · 7 Aug 2022 · May 2022 term

Question 4: The polynomial p(x) = a_n x^n + a_{n-1}x^{n-1} + \ldots +…

Question 4

+4 marksOne or more correct options

The polynomial p(x)=anxn+an−1xn−1+…+a0p(x) = a_n x^n + a_{n-1}x^{n-1} + \ldots + a_0 has the following properties:

  • p(x)p(x) is an even degree polynomial.
  • p(x)p(x) has at least one positive real root and at least one negative real root.
  • Either (x+3)(x + 3) or (x+3)2(x + 3)^2 is a factor of p(x)p(x).
  • p(0)≠0p(0) \neq 0

From the options given, choose the possible representations of p(x)p(x).

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
Show answer

Correct answers

  • A
  • B
  • C
  • E

Question 4 of 18 in the IIT Madras BS Mathematics for Data Science I (Maths 1) End Term paper sat on 7 Aug 2022, in the May 2022 term (IIT M FOUNDATION DIPLOMA ENDTERM QPB1 07 Aug 2022 IBA NS). It carries 4 marks.

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