find zeros of a polynomial p(x)=4x^2-25
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Given:
A polynomial equation p(x) = 4x²-25.
To Find:
The zeroes of the given polynomial.
Solution:
The given problem can be solved using the concepts of polynomial equations.
1. The given polynomial equation is p(x) = 4x²-25.
2. The zero of a polynomial implies the value of x when the value of y is zero. (OR) the points at which the graph cuts/touches the x-axis are called the zeroes of the polynomial.
3. Zeroes of the polynomial 4x²-25 are,
=> 4x²-25 = 0,
=> 4x² = 25,
=> x² = 25/4,
=> x = √(25/4),
=> x = +5/2, -5/2.
Therefore, the zeroes of the polynomial 4x²-25 are +5/2 and -5/2.
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