find a quadratic polynomial whose zeroes …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Flickzi Akshat 4 years, 9 months ago
- 1 answers
Related Questions
Posted by Hari Anand 3 weeks, 2 days ago
- 0 answers
Posted by Kanika . 1 day, 14 hours ago
- 1 answers
Posted by Lakshay Kumar 7 months, 2 weeks ago
- 0 answers
Posted by Parinith Gowda Ms 11 months ago
- 1 answers
Posted by Sahil Sahil 11 months ago
- 2 answers
Posted by Vanshika Bhatnagar 11 months ago
- 2 answers
Posted by Parinith Gowda Ms 11 months ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Gaurav Seth 4 years, 9 months ago
Given zeroes,
5+√2 and 5-√2
Sum of the zeroes=5+√2+5-√2
Sum of the zeroes=10
Product of zeroes=(5+√2)(5-√2)
Product of zeroes=25-2=23
We know that quadratic polynomial is in the form of,
=k{x²-(sum of zeroes)x+product of zeroes}
By putting required values we get,
=k{x²-10x+23}
=x²-10x+23
Hence x²-10x+23 is the required polynomial.
Or
So, f(x) = k {x2 - 10x + 23}, where, k is any non-zero real number.
1Thank You