Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
4.1k views
in Polynomials by (55.4k points)
closed by

Find the zeroes of the quadratic polynomials 10x2 + 3x – 1 and verify the relationship between the zeroes and the coefficients.

1 Answer

+1 vote
by (50.2k points)
selected by
 
Best answer

Let f(x) = 10x2 + 3x – 1

By splitting the middle term, we get

f(x) = 10x2 – 2x + 5x – 1

= 2x(5x – 1) + 1(5x – 1)

= (2x + 1) (5x – 1)

On putting f(x) = 0, we get

(2x + 1) (5x – 1) = 0

⇒ 2x + 1 = 0 or 5x – 1 = 0

x = -1/2 or x = 1/5

Thus, the zeroes of the given polynomialimage10x2 + 3x – 1 are -1/2 and 1/5.

Verification

So, the relationship between the zeroes and the coefficients is verified.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...