Answer
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Hint: Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole. A polynomial having value zero (0) is called zero polynomial. To find the zeros of the given polynomial equate it to zero. The degree of a polynomial is the highest power of the variable x.
Complete step by step answer:
In the given problem, we have, our polynomial, \[p(x) = 3x + 1\]
So, to find the zeros of the equation, we will equate it to zero,
Thus we get, \[3x + 1 = 0\]
\[ \Rightarrow 3x = - 1\]
On simplifying we get,
\[ \Rightarrow x = \dfrac{{ - 1}}{3}\]
So, a zero of the polynomial is \[ = \dfrac{{ - 1}}{3}\]
Note: We can verify the result by substituting it in the given polynomial. For a polynomial, there could be some values of the variable for which the polynomial will be zero. These values are called zeros of a polynomial. Sometimes, they are also referred to as roots of the polynomials. In general, we find the zeros of quadratic equations, to get the solutions for the given equation.
Complete step by step answer:
In the given problem, we have, our polynomial, \[p(x) = 3x + 1\]
So, to find the zeros of the equation, we will equate it to zero,
Thus we get, \[3x + 1 = 0\]
\[ \Rightarrow 3x = - 1\]
On simplifying we get,
\[ \Rightarrow x = \dfrac{{ - 1}}{3}\]
So, a zero of the polynomial is \[ = \dfrac{{ - 1}}{3}\]
Note: We can verify the result by substituting it in the given polynomial. For a polynomial, there could be some values of the variable for which the polynomial will be zero. These values are called zeros of a polynomial. Sometimes, they are also referred to as roots of the polynomials. In general, we find the zeros of quadratic equations, to get the solutions for the given equation.
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