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... solving quadratic equations such as (8x + 3)(x - 6) = 0, x2 + 5x – 6 = 0, 3x2 =10x 8 (completing the square and the quadratic formula are not required) ...
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... and y are any numbers, with coefficients determined for example by Pascal’s Triangle. A-APR6. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), u ...
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Mathematics and architecture



Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.
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