verify whether the values of x given in each case are the zeroes of the polynomial or not ? f(x) = 3 {x}^{2} - 1 If the

Question

verify whether the values of x given in each case are the zeroes of the polynomial or not ?
f(x) = 3 {x}^{2} - 1
If the value of x =  - \frac{1}{ \sqrt{3} } \: \: and \: \: \frac{2}{ \sqrt{3} }

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Adela 6 months 2021-08-15T15:54:58+00:00 1 Answers 0 views 0

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    2021-08-15T15:55:58+00:00

    Answer:

    INFORMATION :-

     \implies the zeroes of a polynomial also called its roots are the values of x for which the corresponding value of y {f(x)} is zero.

     \implieswhile seeing zeroes in a graph they are the points where the graph intersects the x- axis.

    SOLUTION :-

    Now, we’re given a function such that

    f(x) = 3x²- 1

    put f(x) = 0 and solve for x to get the zeroes of this function.

    f(x) = 3x² – 1 = 0

    3x² – 1 = 0

    3x² = 1

    x² =  \frac{1}{3 }

    x = ±  \frac{1}{ \sqrt{3} }

    so the roots of f(x) = 3x²- 1 are :-

    • +  \frac{1}{ \sqrt{3} }
    •  \frac{1}{ \sqrt{3} }

    Comparing the values given to us and the values we found out.

    • 1st value is a zero of the function

    while the

    • 2nd value isn’t.

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