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Number of Zeroes

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Question

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

In the above graph, how many zeroes are there for the polynomial $x^{2} - 2 x + 3$ ?

A

0

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B

1

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C

2

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D

3

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Solution

The correct option is C 2

Here, we can clearly observe that, the graph of the polynomial $x^{2} - 2 x + 3$ cuts the x axis at two distinct points.
Hence the number of zeroes for the given polnomial is 2.

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Similar questions

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

The product of zeroes of a cubic polynomial

x^{3} - 3 x^{2} - x + 5

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

Find a quadratic polynomial with

\frac{1}{8}

as the sum and 2 as product of its zeroes.

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

If the parabolic arch is represented by a polynomial

a x^{2} + b x + c

, which of the following is mandatory?

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

If

α

β

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x^{2} + 3 x - 2

\frac{1}{(α)^{3}} + \frac{1}{(β)^{3}}

.

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

If

α, β

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