Ncert Activities Maths problems:- To Draw the Graph of a Quadratic Polynomial and Observe: i) The shape of the curve when the coefficient of x2 is positive ii) The shape of the curve when the coefficient of x2 is negative iii) Its number of zeroes || Ncert Activity solutions ||Earning adda san blogspot

 Ncert Activities Maths problems:- To Draw the Graph of a Quadratic Polynomial and Observe:
i) The shape of the curve when the coefficient of x2 is positive
ii) The shape of the curve when the coefficient of x2 is negative
iii) Its number of zeroes
​Solutions -

1.)When the coefficient of x2 is positive, the graph of the quadratic polynomial is a positive.
The shape of the curve when the coefficient of x2 is positive parabola that opens upwards. This is because the parabola is a reflection of the graph of y = x2 about the x-axis. The parabola will have two zeroes, which are the point where the graph crosses the x-axis.

2.)The shape of the curve when the coefficient of x2 is negative
When the coefficient of x2 is negative, the graph of the quadratic polynomial is a parabola that opens downwards. This is because the parabola is a reflection of the graph of y = -x2 about the x-axis. The parabola will have two zeroes, which are the
points where the graph crosses the x-axis.

3.) Its number of zeroes
The number of zeroes of a quadratic polynomial is equal to the degree of the polynomial. The degree of a polynomial is the highest power of the variable in the polynomial. In the case of a quadratic polynomial, the degree is 2. Therefore, a quadratic polynomial will have 2 zeroes.

Hope this helps you!