# CAT Quantitative Aptitude Questions | CAT Algebra - Polynomials questions

###### CAT Questions | Algebra | Polynomials - Cubic Equation
CAT Questions

The question is about Cubic Equation. Sum and product of roots of a polynomial and two roots are given and we need to find out an algebraic term of the roots. Polynomials is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept.

Question 20:x3 – 4x2 + mx – 2 = 0 has 3 positive roots, two of which are p and $$frac{1}{p}\\$ Find m. 1. 5 2. -11 3. 8 4. -2 ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /-CAT Online Coaching ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, November 2nd, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from CAT Algebra - Polynomials: Relate the given roots and the product and you will be through! Let the roots be p, $\frac{1}{p}\\$ and q. p * $\frac{1}{p}\\$ * q = 2 So, the 3rd root = q = 2 p + $\frac{1}{p}\\$ + 2 = 4 p + $\frac{1}{p}\\$ = 2 {For any real p |p + $\frac{1}{p}\\$ > 2| } p2 – 2p + 1 = 0$p – 1)2 = 0. Hence, p is 1.
The roots are 1, 1 and 2.
(1 * 1) + (1 * 2) + (1 * 2) = 5 = m

The question is "x3 – 4x2 + mx – 2 = 0 has 3 positive roots, two of which are p and $$frac{1}{p}\\$ Find m." ##### Hence the answer is "5" Choice A is the correct answer. ###### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /- Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Nov 2nd, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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