Sarthaks Test
0 votes
119 views
in Mathematics by (15.0k points)

Verify whether the following are zeroes of the polynomial, indicated against them.

(i) p(x) = 3x2 - 1, x = - 1/√3, 2/√3

(ii) p(x) = 2x + 1, x = 1/2

1 Answer

0 votes
by (24.8k points)
selected by
 
Best answer

(i) If x = -1/√3 and x = 2/√3 are zeroes of polynomial p(x) = 3x2 − 1, then

p(-1/√3) and p(2/√3) should be 0.

Here, p(-1/√3) = 3(-1/√3)2 - 1

= 1 - 1 = 0,and

p(2/√3) = 3(2/√3)2 - 1

= 3(4/3) - 1 = 4 - 1 = 3

Hence, x = -1/√3 is a zero of the given polynomial. However, x = 2/√3 is not a zero of the given polynomial.

(ii) If x = 1/2 is a zero of polynomial p(x) = 2x + 1, then p(1/2) should be .

Here, p(1/2) = 2(1/2) + 1 = 1 + 1 = 2

As p(1/2) ≠ 0

Therefore, x = 1/2 is not a zero of the given polynomial.

Related questions

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.

Categories

...