Question

Represent the zeros of quadratic polynomial -x×x+4x-4 graphically

Answer 1

The zero of the polynomial -x^2 + 4x - 4 obtained graphically is x = 2.

We will proceed as explained below -

• The zeroes of a quadratic polynomia ( say f(x) ) referes to the values of x , which satisfies the equation

                                                   f(x) = 0

• The above equation is referred to as the quadratic equation and is solved popularly by Sridharacharya formula.
• However, the zeroes of a quadratic polynomial can also be calculated graphically by plotting the graph of the quadratic polynomial and marking the values of x for which the function is zero.
• For the given problem, the graph is as attatched.
• From the graph, we see that for x = 2, the quadratic polynomial is zero.
• Thus, the zero of the polynomial -x^2 + 4x - 4 is x = 2.