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:
Which of the following polynomials has exactly one zero?
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:
Which of the following polynomials has exactly one zero?
The correct option is C
We know that the number of times the graph cuts/touches the x-axis is equal to the number of zeroes.
In option (a), the graph does not cut/touch the x-axis at any point. So, it has no zero.
In options (b) and (d), the graph cuts the x-axis at two distinct points. So, it will have two zeroes.
In option (c), the graph touches the x-axis at exactly one point. So, it will have exactly one zero.
Therefore, option (c) is the correct answer.
We know that the number of times the graph cuts/touches the x-axis is equal to the number of zeroes.
In option (a), the graph does not cut/touch the x-axis at any point. So, it has no zero.
In options (b) and (d), the graph cuts the x-axis at two distinct points. So, it will have two zeroes.
In option (c), the graph touches the x-axis at exactly one point. So, it will have exactly one zero.
Therefore, option (c) is the correct answer.
