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  2. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    For example, 3 × 5 is an integer factorization of 15, and (x2)(x + 2) is a polynomial factorization of x 2 – 4. Factorization is not usually considered meaningful within number systems possessing division , such as the real or complex numbers , since any x {\displaystyle x} can be trivially written as ( x y ) × ( 1 / y ) {\displaystyle ...

  3. Effect of taxes and subsidies on price - Wikipedia

    en.wikipedia.org/wiki/Effect_of_taxes_and...

    In the pre-tax equilibrium the distance equals $5.00 x 0.20 = $1.00. This burden of the tax is again shared by the buyer and seller. If the new equilibrium quantity decreases to 85 and the buyer bears a higher proportion of the tax burden (e.g. $0.75), the total amount of tax collected equals $1.00 x 85 = $85.00.

  4. Factorization of polynomials - Wikipedia

    en.wikipedia.org/wiki/Factorization_of_polynomials

    If one of these values is 0, we have a linear factor. If the values are nonzero, we can list the possible factorizations for each. Now, 2 can only factor as 1×2, 2×1, (−1)×(−2), or (−2)×(−1). Therefore, if a second degree integer polynomial factor exists, it must take one of the values p(0) = 1, 2, −1, or −2. and likewise for p(1).

  5. Sales taxes in Canada - Wikipedia

    en.wikipedia.org/wiki/Sales_taxes_in_Canada

    12 [2] The RST was increased one point to 8% on July 1, 2013. It reverted to 7% as of July 1, 2019 and although it was planned to drop to 6% as of July 1, 2020 [3] [4] due to the COVID-19 pandemic the province has deferred the reduction until further notice. [5] There is a 5% tax on lodging and 5% tax on hotel room fees. New Brunswick: HST: 10: 15

  6. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a composite number, or it is not, in which case it is a prime number. For example, 15 is a composite number because 15 = 3 · 5 , but 7 is a prime number because it cannot be decomposed in this way.

  7. Polynomial expansion - Wikipedia

    en.wikipedia.org/wiki/Polynomial_expansion

    In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...

  8. Sales tax - Wikipedia

    en.wikipedia.org/wiki/Sales_tax

    For example, sales tax in Chicago (Cook County), IL is 10.25%, consisting of 6.25% state, 1.25% city, 1.75% county and 1% regional transportation authority. Chicago also has the Metropolitan Pier and Exposition Authority tax on food and beverage of 1% (which means eating out is taxed at 11.25%).

  9. Factorization of polynomials over finite fields - Wikipedia

    en.wikipedia.org/wiki/Factorization_of...

    For the fourth time through the loop we get y = 1, z = x + 2, R = (x + 1)(x + 2) 4, with updates i = 5, w = 1 and c = x 6 + 1. Since w = 1, we exit the while loop. Since c ≠ 1, it must be a perfect cube. The cube root of c, obtained by replacing x 3 by x is x 2 + 1, and calling the