find the zero of the polynomial 5x-1
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The zero of the polynomial p (x) = 5x - 1 is .
Explanation:
- For a polynomial, there are some values of the variable for which the polynomial will be 'zero'. These values are called zeros of the polynomial. Sometimes, they are also referred to as 'roots of the polynomials'. In general, find the zeros of quadratic equations, to get the solutions for given equations.
- Zeros of a polynomial can be defined as the points where the polynomial becomes zero. A polynomial having value "zero" is called zero polynomial.
- Given that the polynomial p(x) = 5x - 1 and we have to find the zero of the polynomial.
- To find the zero of the polynomial p(x) = 5x - 1, first we want to put its value equal to zero. Equate p (x) to 0, then find the value of x. The value of x indicates the zero of the polynomial.
⇒ p (x) = 0
⇒ 5x - 1 = 0
⇒ 5x = 1
⇒ x =
- Hence, the zero of the given polynomial is .
- For verifying the obtained value of zero of the polynomial (5x-1) as x = , put this value of x in the polynomial. If it is equal to zero then our answer is correct. If it is not equal to zero then it will not be the zero of the polynomial.
⇒ 5x - 1 = (5 × ) - 1 = 1 - 1 = 0, which is correct.
- Hence,it is verified that x = is the zero of the polynomial, p (x) = 5x - 1.
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