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
1.3k views
in Polynomials by (36.4k points)
closed by

If a quadratic polynomial f (x) is a square of a linear polynomial, then its two zeroes are coincident. (True/False)

1 Answer

+1 vote
by (38.0k points)
selected by
 
Best answer

True

Lets take,

f(x) = x2 – 4x + 4

= (x – 2)2

= [g(x)]2 ………….. [g(x) = (x – 2) is a linear polynomial]

Zero of g(x) is 2,

So,

Zeroes of f(x) are 2 and 2.

So,

We can say that zeroes of f(x) are coincident.

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.

...