Question 46 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards
Last updated at August 12, 2026 by Teachoo
Polynomials are everywhere. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them. Since, polynomials are used to describe curves of various types engineers use polynomials to graph the curves of roller coasters.
If the Roller Coaster is represented by the following graph y = p(x) , then name the type of the polynomial it traces.
(a) Linear (b) Quadratic (c) Cubic (d) Bi-quadratic
Question 46 – 50 are based on Case Study -2 Polynomials are everywhere. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them. Since, polynomials are used to describe curves of various types engineers use polynomials to graph the curves of roller coasters.
Question 46 If the Roller Coaster is represented by the following graph y = p(x) , then name the type of the polynomial it traces. (a) Linear (b) Quadratic (c) Cubic (d) Bi-quadratic
We know that
Number of zeroes is equal to number of times curve intersects the x-axis
∴ Number of zeroes = 3
Now, in general
Number of zeros = Power of Polynomial
Since this has 3 zeros, the polynomial would look like ax3 + bx2 + cx + d
∴ The polynomial is a cubic polynomial
So, the correct answer is (c)
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