RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 10 of CCE - Formative Assessment

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Figure 2.23 shows the graph of the polynomial f(x) = ax2 + bx + c for which

As seen from the graph,

The parabola cuts the graph at two points on the x axis.

One root is positive & one root is negative.

Now, for a polynomial, the sum of roots is given as:

α + β = -b/a

Also, the product of roots = c/a is positive.

Because c is positive,

a is negative & b is negative.

Therefore, option (b) is correct.

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?