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What is a monic polynomial?

Monic polynomials are characterized by having only a single variable, hence the term "univariate polynomial". The default orientation of a monic polynomial involves the terms arranged from highest to lowest degree. The term that contains the variable with the highest exponent is written first, then the next term with the second highest exponent until the term with the lowest degree. In other words, the usual arrangement of a monic polynomial is in descending powers.\nAny polynomial can be converted to a monic polynomial by dividing all the terms by the coefficient of the highest order term. In..

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How does a Venn diagram work?

Venn diagrams are a part of the set theory branch of math. In 1891, John Venn created this diagram to determine what two different sets have in common. While most people first learn about this type of diagram in a math class, they can use it for many different classes and disciplines. Someone can look at two to three different sets to see what they all have in common and to explore the differences among them.

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What are prime and composite numbers?

Examples of prime numbers include 11, 13, 29, 61 and 67. Each of these numbers is only divisible by one and itself without remainders. Examples of composite numbers include 12, 14, 28, 68 and 70. Each of these numbers has more divisors than one and itself that do not leave remainders.\nOne is not considered a prime or composite number. Fractions are not included when discussing prime and composite numbers because the focus is on whole numbers exclusively. Prime and composite numbers are considered to be a part of the fundamental theorem of arithmetic.\nThe fundamental theorem of arithmetic, or..

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What is the first number in a subtraction called?

In essence, a subtraction goes "minuend - subtrahend = difference," where the subtrahend is the number being taken away from the minuend and the difference is what remains. In the equation:\n\n9 - 6 = 3\n\nNine is the minuend, six is the subtrahend with the remainder (three) being the difference.\nThe word itself is Latin and is a gerundive of "minuere," meaning "to make smaller, lessen or diminish," though it can also be directly translated as "to let blood." The first known use of the word was in 1706.

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What is the difference between mean, median, mode and range?

The mean takes the sum of all the values, then divides the total by the number of values given. The resulting average will not necessarily be equal to any of the values previously given and may contain a decimal. The mean is commonly taught as being the standard average.\nThe median is the middle value within a set of values arranged in numerical order. When a set has an even number of values, the median is determined by calculating the mean between the two most central values.\nThe mode is the number that is repeated most often within a set of values. If no numbers are repeated, then the set ..

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What is a feasible region?

For example, consider limitations imposed by available production materials and labor and determine the optimal production levels for maximum profits under those conditions. To solve the problem mathematically, a planner first graphs the inequalities that define the production constraints and forms a feasibility region on the x, y-plane. He then pinpoints the coordinates of the corners of the region, such as the coordinates of the intersection points between any two sets of lines.\nApplying these coordinates in a given optimization formula can help reveal the highest or lowest possible value; ..

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How many vertices does a cone have?

The base of a cone is circular. The top of the cone is a single point called the apex of the cone. A right circular cone is formed when the apex lies exactly beneath the center of the circular base. In such a case, the angle formed at the center of the base is a right angle. The area of the cone is the sum of the areas of the base and the curved surface.

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What are the prime factors of 22?

Determining the prime factors of a given number is done through the process of prime factorization. The process may be started by dividing the number by two, which is the smallest prime number. If the result is a whole number, then two is considered one of the prime factors of the number. The resulting quotient should also be subjected to the same division until a non-whole number is obtained.\nIf the result of dividing the original number by two is not a whole number, then proceed by dividing the number by the next higher prime number, which is the number 3. Repeat the process until the numbe..

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What is Phi in math?

The golden ratio is obtained when a line is divided into two parts such that the longer part divided by the smaller part is equal to entire length of the line divided by the longer part. For example, two portions measuring 61.8 and 38.2 on a straight line form a golden ratio. It appears frequently in architecture, art and geometry.Some 20th century architects and artists have proportioned their works to approximate the golden cut because they believe it is aesthetically pleasing. It is widely believed, although not proven, that the Parthenon in Greece was built with the golden ratio in mind. T..

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What is 17 x 5?

The numbers 17 and 5 are multiplied by first writing the numbers vertically. Next, obtain the product of 7 and 5, which is 35. Write 5 below, along the ones column, and carry the number 3. Next, multiply 1 and 5 to get 5. Three, the carried number, is then added to 5. The sum, which is 8, is also written below, but is aligned to the tens digits. Thus, the product is 85. Both 17 and 5 are factors of 85.

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