Algebra, List 2

December 1, 2022
Review these terms and concepts related to algebra that may be tested on the Quantitative Reasoning section of the GRE test.
Similarly, the sum of cubes can be factored into a binomial and a trinomial, but with different signs.
Moving through water is powerful, he added, because the resistance, or drag coefficient, is 12 times what it is in air and works on the body in all directions.
For example, rotating a square 90 degrees and then flipping it horizontally is the same as flipping it across a diagonal—in other words, “90-degree rotation + horizontal flip = diagonal flip.”
The instruments were able to accurately read the direction and speed of the magma’s flow; the results pointed resoundingly toward the presence of a hot spot.
Data encryption typically relies on the practical difficulty of a process called prime factorization.
We shall see later that when one combines general relativity with the uncertainty principle of quantum mechanics, it is possible for both space and time to be finite without any edges or boundaries.
The team showed that, when the wave function’s spin vector is aligned along the waveguide’s axis, the distribution of arrival times predicted by the quantum flux method and by Bohmian mechanics are identical.
The findings are sure to heighten the national debate over the vast and widening inequality between the very wealthiest Americans and everyone else.
This intersection point will lie on a line directly above where the triangle balances.
Meanwhile, archaeologists have begun looking for evidence of ancient numerical notations, and evolutionary biologists with an interest in language are exploring the deep origins of number words.
For instance, if you have a ball in free fall, it moves in a parabola, while a frictionless spring wobbles back and forth forever, and a spring with friction slowly comes to rest.
The degree of a polynomial is the value of the highest exponent, which in standard form is also the exponent of the leading term.
For example, the first ten prime numbers—numbers divisible only by themselves and by one—are 1, 2, 3, 5, 7, 11,13, 17,19, 23.
The sum of all contributions could be described by the series—½ + ¼ + ⅛ ...—all of which conveniently added to 1.
From mesmerizing symmetry of spiraling sunflower seeds to mirror-like sides of the human body, patterns dominate nature.

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