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प्रश्न
Define degree of a polynomial.
उत्तर
The exponent of the highest degree term in a polynomial is known as its degree.
In other words, the highest power of x in a polynomial ` f(x)` is called the degree of the polynomial ` f(x)`.
For Example: `g(x)= 2x^2+3x+4 ` is a polynomial in the variable x of degree 2.
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Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t2 + 8t + k.
At what time will she touch the water in the pool?
