RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 15 of CCE - Formative Assessment

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The graph of the polynomial f(x) = ax2 + box + c is as shown in Fig. 2.20. Write the value of b2 – 4ac and the number of real zeros of f (x).

b2 – 4ac = 0, Two

The given quadratic equation touches the x-axis at only one point.

The root of the quadratic equation is equal and real because if the quadratic equation has two distinct roots, then the graph touches the x-axis at two points.

As we know that the roots are real and equal if the value of discriminant is zero,


b2 – 4ac = 0


Chapter Exercises

More Exercise Questions


The sum and product of the zeros of a quadratic polynomial are and — 3 respectively. What is the quadratic polynomial?