Math

Refine Search

How do you factor polynomials?

Factor by groupingGrouping is the easiest way to factor a four-term polynomial. Use the polynomial 2x³ - 8x² - 3x + 12 as the example. First, group 2x³ - 8x² and -3x + 12 as two separate equations. Factor 2x³ - 8x² by finding the greatest common factor, which is 2x². Using the greatest common factor, 2x³ - 8x² becomes 2x²(x - 4). Now do the other group, -3x + 12.\n\nThe greatest common factor for that equation is -3. Using the greatest common factor, -3x + 12 becomes -3(x - 4). Put it back together, and you get: 2x²(x - 4) - 3(x - 4). Find the greatest common factor for this equatio..

Continue Reading

How do you find the square root of 101?

Algorithms for square roots are the only way that the square root can be found for a number that does not have a definitive square root without the use of a calculator. These algorithms are not often taught in schools and are generally only shown to students a few times, if they are shown at all. The algorithm process is lengthy, complicated and generally not needed.Modern technology has combined to create algorithms in calculators. A number can simply be plugged into a calculator with the square root symbol being used to find the exact square root of the number. An algorithm is only helpful f..

Continue Reading

What would be included in a list of three dimension shapes?

A sphere is a solid figure where all points are an equal distance from the center, thus giving the figure a round shape. When cut at its diameter, the half-sphere's base is in the shape of a circle. A cone is a soild with a circular base and a curved side that meets at one vertex. A right cone's vertex is directly over the center of the base, while an oblique cone's vertex is off center. A cylinder is a three-dimensional figure with two parallel circular bases.\nA pyramid is a soild with triangular sides that meet at one vertex. One variant of the pyramid is the regular tetrahed..

Continue Reading

What is the abbreviation for "circle"?

The U.S. Postal Service recommends that proper, standardized abbreviations be used on all mail. Mail processing is increasingly automated, and standardized abbreviations and address formats allow for quicker processing speeds with fewer mistakes. Other lesser-known abbreviations include "BR" for "branch," "CMN" for "common," "GDN" for garden and "LGTS" for lights. The Postal Service also recommends that all components of addresses are written in simple, block-style capital letters with no more than two spaces between any component.

Continue Reading

What are Korean numbers?

The number 1 is “hana” in native Korean and “il” in Sino-Korean. These numerals have corresponding symbols. Omniglot provides a table of numerals from 1 to one trillion and their equivalent symbols and names in native Korean and Sino-Korean.\nThe Korean counting system uses increments of 10,000 instead of 1,000. Thus, 100,000 is denoted as “10 ten-thousands” and not “100 thousands.”

Continue Reading

What is the inetegral ln x?

By setting u = ln(x) and v = x, one can use the integration by parts identity, which says that the integral of u with respect to v is equal to uv minus the integral of v with respect to u, to show that the integral of ln(x) is xln(x) - x + c. This method also uses the fact that the differential of ln(x) with respect to x is 1/x.

Continue Reading

How do you find the volume of solid figures?

In case of a figure with a regular shape, determine its length, width and height using a measuring tape or ruler. Multiply the three measurements together to obtain the figure's volume in cubic units. If the figure is shaped irregularly, pour water in an empty overflow can to the brim. Allow the excess water to flow out via the downspout. Place a graduated cylinder beneath the can's spout.\nSlowly, put the solid figure in the overflow can. This causes water displacement and the displaced water spills into the graduated cylinder.\nRead the volume of the water in the cylinder. This equ..

Continue Reading

How do you find the rate of change?

Find the vertical changeWrite down the points that you are given, or graph the line to find two x-values and two y-values. Subtract the second y-value from the first y-value to find the vertical change.Find the horizontal changeSubtract the second x-value from the first x-value to find the horizontal change.Find the rate of changeWrite the value of the vertical change over the value of the horizontal change. Simplify the fraction if there are two negative values or if the numerator and the denominator share a common factor. If given the equation y= 2x+1, graph the line to find two points; (-2,..

Continue Reading

What is factoring in math?

For instance, finding the factors of a number like 10 is fairly simple. For instance, all the factors of 10 are 1 and 10, 2 and 5, -1 and -10 and -2 and -5 because 1 times 10 is equal to 10, as is 2 times 5, and so on. The process is more difficult when factoring a quadratic such as x squared plus 5x plus 6, where the factors are (x plus 2) and (x plus 3).

Continue Reading

What are some early counting devices?

Early evidence of abaci dates to 200 B.C. in China. The classic abacus consists of a number of rows of sliding beads on a frame with a horizontal beam dividing the frame into two unequal halves. The number of rows vary, but there are typically five beads below the beam and two above. An abacus is capable of performing addition, subtraction, multiplication, division, cube root and square root, and it is a much faster method of mathematics than writing calculations by hand. In fact, some parts of rural China still employ abaci in businesses, as electricity frequently fails and renders modern cou..

Continue Reading
Showing 3101 to 3110 of 3956 (396 Pages)