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How do you find the degree of a polynomial?

Look at all of the terms in the polynomial expressionConsider the example 4x^4 + x^3 + 2x^2 - 5x - 1. Look for exponents associated with variables; four of the terms have exponents. Look at the first term, which has four exponents; this comes from the fact that x is raised to the fourth power, not that x^4 is multiplied by 4.Follow the same process for expressions with multiple variables.Consider the example 2xy^4 + 3x^2y - 8xy^2 - 4x + 3. Count the exponents in each of the terms, going by exponent rather than the multiplying constant. Look at the first term, which has five exponents (x raised..

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How many combinations can be made with four numbers?

There are 10 choices, zero through nine, for each number in the combination. Because there are four numbers in the combination, the total number of possible combinations is 10 choices for each of the four numbers. That is, the number of possible combinations is 10*10*10*10 or 10^4, which is equal to 10,000. The binomial coefficient formula is a general way to calculate the number of combinations. The number of combinations of k elements from a set with n elements is n!/(k!*(n-k)!), in which the exclamation mark indicates a factorial.\nTo calculate the number of combinations in which each digit..

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What is vector notation?

When writing about vectors, they may be indicated by the name of the line segment with a right-facing arrow printed above the name, by applying boldface to the name of the vector, or by mathematical coordinates. Vector coordinates indicate direction, not location, so a vector written out as (-1, 3) is moving negatively one space in respect to the x axis, or left, and positively three spaces in respect to the y axis, or up. In handwriting, a squiggly line, or tilde, may be written underneath the name of the line segment to indicate that it is a vector.

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What is the square root of 1,225?

The number 1,225 is considered a perfect square since the number 35 can be multiplied by itself to derive a whole number. If the answer of a square root results in a fraction or decimal, it is not considered a perfect square. Square roots of imperfect squares can be harder to obtain an accurate answer without the help of a calculator. Another example of a perfect square includes the number 4 by multiplying 4 x 4 = 16. When the square root of 16 is obtain, it results in 4.

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What does the equation "a2 + b2 = c2" refer to?

The Pythagorean theorem states the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this equation, the twos after each term are not indicators of multiplication by two but of squaring each term. Normally, mathematicians write them as superscripts above the regular line of the text. This formula provides the basis for the distance formula, which is useful in determining the distance between two points on a graph when given their coordinates.

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What is 0.3 as a fraction?

One can write a decimal as a fraction using a simple procedure. First, write down the decimal divided by one, which in this case would be 0.3/1. Multiply the top and bottom parts of the fraction by 10 until both are whole numbers. In the case of 0.3, multiply each part by 10 to get the result 0.3 equals 3/10. As three and 10 have no common factors, 3/10 is the simplest fraction that is equal to 0.3.

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What is Math Helper?

Math Helper is suitable for individuals who are studying mathematics or those who have a keen interest in the subject. The app is available on digital distribution platforms such as Google Play, where it receives a significant number of high ratings and positive reviews. Alternatively, consumers may purchase it on Amazon.com. The app developer also offers a free version that is known as Math Helper Lite, which is less comprehensive than the paid version.

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Does distance affect height in algebra?

There are instances in which the height of an object, in relation to another object, can have an effect on the distance between them. For example, the distance of two items on the floor may be different than if one of the items were to be lifted significantly higher.\nIt should be noted that the height of the item itself does not affect the distance between the two items, but the relative height to the object in comparison to another.

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Is there an online calculator for building cost per square foot?

Building-Cost.net uses factors including the exterior shape of the house and the quality of construction for items such as the foundation, windows, doors and electrical service. Other factors weighed include the quality of the kitchen, bathroom fixtures and plumbing service. The cost depends on whether the house features an attic, a basement or a garage. The house's building site also impacts cost, as does the extensive nature of a heating and cooling system.

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What is in "Calculus 3 for Dummies"?

According to the table of contents for "The Essentials of Calculus III," the book covers vector analysis, real valued functions, partial differentiation, multiple integration, vector fields and infinite series.\n"How to Ace the Rest of Calculus" includes chapters on indeterminate forms and improper integrals, polar coordinates, infinite series, vectors, parametric curves in space, surfaces and graphing, functions and partial derivatives of several variables, multiple integrals, and vector fields.\n"Differential Equations for Dummies" has four chapters on first order differential equations, fou..

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