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.

Find a quadratic polynomial for the bridge if 6 is the sum and 8 is the product of its zeroes.

x^{2} + 6 x + 8

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x^{2} - 6 x + 8

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x^{2} + 6 x - 8

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x^{2} - 6 x - 8

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Solution

The correct option is B $x^{2} - 6 x + 8$

To find: A quadratic polynomial whose sum is6 and the product is 8.

We know that, the general quadratic equation can be written as $x^{2} - (Sum of zeroes) x + (Product of zeroes)$

Given: Sum of zeroes = 6
Product of zeroes = 8

Hence, the required polynomial $= x^{2} - 6 x + 8$

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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 hills are prepresented by the cubic polynomial

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

then the product of the zeroes is:

y = p (x)

below, find the number of zeroes.

y = p (x)

, then name the type of the polynomial it traces.

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, then which of the following is always true?

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?

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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. Find a quadratic polynomial for the bridge if 6 is the sum and 8 is the product of its zeroes.

The correct option is B x2−6x+8 To find: A quadratic polynomial whose sum is6 and the product is 8. We know that, the general quadratic equation can be written as x2−(Sum of zeroes)x+(Product of zeroes) Given: Sum of zeroes = 6 Product of zeroes = 8 Hence, the required polynomial =x2−6x+8

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.

Find a quadratic polynomial for the bridge if 6 is the sum and 8 is the product of its zeroes.