Question

P(x)=3x^2-1, x=-1/√3, 2/√3

Answer 1

Answer :

To find :

• To check if the given values are zeros of the polynomial.

$\large\underline\rm{Solution:-}$

To check if the values are the zeros of the polynomial or not ,

◆Checking first value

Put x = $\dfrac{-1}{\sqrt{3}}$

p(x) =$3×{\dfrac{-1}{\sqrt{3}}}^{2} - 1$

p(x) = - 1 - 1

p(x) = 0

As , the answer is equal to zero , thus it is the zero of the given polynomial.

◆Checking second value

Put x = $\dfrac{2}{\sqrt{3}}$

p(x) = $3×{\dfrac{2}{\sqrt{3}}}^{2} - 1$

p(x) = + 2 - 1

p(x) = 1

As , the answer is not equal to zero , thus it is not zero of the given polynomial.

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