Find a quadratic polynomial whose zeroes are 5 – 3√2 and 5 + 3√2.

Find a quadratic polynomial whose zeroes are 5-3√2 and 5+3√2

Question 23 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 23 Find a quadratic polynomial whose zeroes are 5 – 3√2 and 5 + 3√2.Given Zeros 5 – 3√2 and 5 + 3√2. So, Sum of Zeroes = (5 – 3√2) + (5 + 3√2) = 10 Product of Zeroes = (5 – 3√2) × (5 + 3√2) = 52 − (3√2)2 = 25 − 9 × 2 = 25 − 18 = 7 The Required polynomial is p(x) = x2 − (Sum of Zeroes)x + Product of Zeroes = x2 − 10x + 7

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.