Question

8. While playing badminton in the park Raju seeing the barrier chains hung between two posts at the

edge of the walk way of a street. It is hung in the shape of the parabola. Parabola is the

graphicalrepresentation of a particular type of polynomial.

i. Which of the following polynomial is graphically represented by a parabola

(a) Linear polynomial (b) Quadratic polynomial

(c) Cubic polynomial (d) None of the above.

ii. If a polynomial, represented by a parabola, intersects the X-axis at -3, 4 and Y-axis at -2 then

itszero(es) is/are

(a) -1,2 and -2 (b) 2 and -2 (c) -1 (d) -3 and​

Answer 1

i. The polynomial which is graphically represented by a parabola is (b) Quadratic Polynomial.

ii. If a polynomial, represented by a parabola, intersects the X-axis at -3, 4 and Y-axis at -2 then its zeroes are (d) -3 and 4.

Step-by-step explanation:

• We know, the Quadratic polynomial has degree as 2 that is, the highest power of the variable is 2. Therefore, the graph of the polynomial makes a curve representing a Parabola on the coordinate plane.

Hence, The polynomial which is graphically represented by a parabola is (b) Quadratic Polynomial.

• Also, zeroes of any polynomial are determined by the number of times its graph cuts (intersects) the x-axis. The points where the graph intersects are the zeroes of the polynomial. Here, parabola intersects the x-axis at exactly 2 points, -3 and 4.

Therefore, If a polynomial, represented by a parabola, intersects the X-axis at -3, 4 and Y-axis at -2 then its zeroes are (d) -3 and 4.