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  2. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...

  3. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    The names for the degrees may be applied to the polynomial or to its terms. For example, the term 2x in x 2 + 2x + 1 is a linear term in a quadratic polynomial. The polynomial 0, which may be considered to have no terms at all, is called the zero polynomial. Unlike other constant polynomials, its degree is not zero.

  4. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    The roots of the quadratic function y = ⁠ 1 / 2 ⁠ x 2 − 3x + ⁠ 5 / 2 ⁠ are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  5. Fermat's theorem on sums of two squares - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

    If two primes which end in 3 or 7 and surpass by 3 a multiple of 4 are multiplied, then their product will be composed of a square and the quintuple of another square. In other words, if p, q are of the form 20k + 3 or 20k + 7, then pq = x 2 + 5y 2. Euler later extended this to the conjecture that

  6. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    55, or 5 2 (5 squared), can be shown graphically using a square. Each block represents one unit, 1⋅1, and the entire square represents 55, or the area of the square. In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation.

  7. Dick Van Dyke Gathers 'Big Family' at Home Ahead of 99th ...

    www.aol.com/dick-van-dyke-gathers-big-133000649.html

    Van Dyke and Martin appeared together on Jimmy Kimmel Live! on Thursday, Dec. 5 to discuss the making of the video, a shorter version of which will be released on Dec. 13, Van Dyke’s 99th birthday.

  8. Mexican president warns Trump tariffs will kill jobs, hints ...

    www.aol.com/news/mexican-president-tells-trump...

    MEXICO CITY (Reuters) -Mexican President Claudia Sheinbaum on Tuesday warned U.S. President-elect Donald Trump of dire economic consequences for both countries from tariffs and suggested possible ...

  9. Report: Former Temple men's basketball player the subject of ...

    www.aol.com/sports/report-former-temple-mens...

    In early March, U.S. Integrity said there was notable line movement ahead of Temple’s game against UAB. The line moved five points in the Blazers’ direction and they closed as 7.5-point favorites.