Share

# Verify whether the following zeroes of the polynomial, indicated against them. p(x) = 3x^2 – 1, x = -1/√3, 2/√3 - Mathematics

Course
ConceptZeroes of a Polynomial

#### Question

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

p(x) = 3x^2 – 1, x = -1/sqrt3,2/sqrt3

#### Solution

If x = -1/sqrt3" and "x = 2/sqrt3  are zeroes of polynomial p(x) = 3x2 − 1, then

p(-1/sqrt3) and p(2/sqrt3)" should be 0."

"Here, "p(-1/sqrt3)=3(-1/sqrt3)^2-1=3(1/3)-1=1-1=0," and"

p(2/sqrt3)=3(2/sqrt3)^2-1=3(4/3)-1=4-1=3

Hence, x=-1/sqrt3 is a zero of the given polynomial.

However, x=2/sqrt3 is not a zero of the given polynomial.

Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [1]

Solution Verify whether the following zeroes of the polynomial, indicated against them. p(x) = 3x^2 – 1, x = -1/√3, 2/√3 Concept: Zeroes of a Polynomial.
S