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 path traced by the Roller Coaster is represented by the graph $y = p (x)$ , find the number of zeroes?

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Solution

The correct option is D 3
We know that the number of times the graph cuts/touches the x-axis is equal to the number of zeroes.

The given graph exactly cuts the x-axis at three distinct points.

So, it will have three zeroes.

Therefore, option (d) is the correct answer.

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Polynomials in Real Life

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If the path traced by the Roller Coaster is represented by the above graph $y = p (x)$ , find its zeroes?

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Based on the given information, answer the following question:

If the zeroes of the polynomial $p (t) = 18 t ² + (3 k - 9) t + 36$ are negative of each other, then find the value of $k$ .

Polynomials are everywhere. It is found in the slope of a hill, the curve of a bridge or the continuity of a mountain range.

Based on the given information, answer the following question.

If the path traced by the hills is represented by the graph

y = p (x)

below, find the number of zeroes.

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The correct option is D 3We know that the number of times the graph cuts/touches the x-axis is equal to the number of zeroes. The given graph exactly cuts the x-axis at three distinct points. So, it will have three zeroes. Therefore, option (d) is the correct answer.

The correct option is D 3
We know that the number of times the graph cuts/touches the x-axis is equal to the number of zeroes.

The given graph exactly cuts the x-axis at three distinct points.

So, it will have three zeroes.

Therefore, option (d) is the correct answer.