Polynomials in Real Life
Polynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them.
Based on the given information, answer the following question:
If the roller coaster is represented by the following graph y=p(x) , then name the type of the polynomial it traces.
Polynomials in Real Life
Polynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them.
Based on the given information, answer the following question:
If the roller coaster is represented by the following graph y=p(x) , then name the type of the polynomial it traces.The correct option is C Cubic
Given graph, cuts the x-axis at three distinct points.
Hence, the number of zeroes for the given polynomial is 3.
We know that, the degree of the polynomial indicates the maximum number of zeroes it can have.
Here, the maximum number of zeroes is 3. Therefore, degree of the polynomial is 3.
A polynomial of degree 3 is called a cubic polynomial.
Thus, the roller coaster represented by the given graph is a cubic polynomial.
Therefore, option (c) is the correct answer.
Given graph, cuts the x-axis at three distinct points.
Hence, the number of zeroes for the given polynomial is 3.
We know that, the degree of the polynomial indicates the maximum number of zeroes it can have.
Here, the maximum number of zeroes is 3. Therefore, degree of the polynomial is 3.
A polynomial of degree 3 is called a cubic polynomial.
Thus, the roller coaster represented by the given graph is a cubic polynomial.
Therefore, option (c) is the correct answer.
