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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 ...
The word FOIL is an acronym for the four terms of the product: First ("first" terms of each binomial are multiplied together) Outer ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second) Inner ("inside" terms are multiplied—second term of the first binomial and first term of the second)
In terms of a new quantity , this expression is a quadratic polynomial with no linear term. By subsequently isolating ( x − h ) 2 {\displaystyle \textstyle (x-h)^{2}} and taking the square root , a quadratic problem can be reduced to a linear problem.
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.
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.
The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or "name". It was derived from the term binomial by replacing the Latin root bi-with the Greek poly-. That is, it means a sum of many terms (many monomials). The word polynomial was first used in the 17th century. [6]
A North Carolina father was arrested Monday after allegedly storming into a high school and choking a teenage student in a caught-on-video attack. Quinton Lofton, 43, was charged with felony ...
The steps given by Babylonian scribes for solving the above rectangle problem, in terms of x and y, were as follows: Compute half of p. Square the result. Subtract q. Find the (positive) square root using a table of squares. Add together the results of steps (1) and (4) to give x.