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Standard IX

Mathematics

Geometrical Meaning of Zeros of Polynomial

Polynomials a...

Question

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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Solution

The correct option is D $3$

In the given figure, the graph of a polynomial $p (x)$ cuts the x-axis at three distinct points. i.e the value of polynomial is equal to zero at these three points.

$∴$ The number of zeroes of $p (x) = 3$

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Similar questions

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 equation of the bridge is prepersented by the following graph

y = p (x)

, then name the type of the polynomial it traces.

t (x) = 2 x^{3} + 8 x^{2} + 9 x + 16,

then the product of the zeroes is:

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?

t (x) = p x^{3} + q x^{2} + r x + s

, then which of the following is always true?

Polynomials in Real Life

Based on the given information, answer the following question:

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

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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.

The correct option is D 3 In the given figure, the graph of a polynomial p(x) cuts the x-axis at three distinct points. i.e the value of polynomial is equal to zero at these three points. ∴ The number of zeroes of p(x)=3

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.

The correct option is D $3$

In the given figure, the graph of a polynomial $p (x)$ cuts the x-axis at three distinct points. i.e the value of polynomial is equal to zero at these three points.

$∴$ The number of zeroes of $p (x) = 3$