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In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1.
Thus solving P(x) = 0 is reduced to the simpler problems of solving Q(x) = 0 and R(x) = 0. Conversely, the factor theorem asserts that, if r is a root of P(x) = 0, then P(x) may be factored as = (), where Q(x) is the quotient of Euclidean division of P(x) = 0 by the linear (degree one) factor x – r. If the coefficients of P(x) are real or ...
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.
The binomial approximation for the square root, + + /, can be applied for the following expression, + where and are real but .. The mathematical form for the binomial approximation can be recovered by factoring out the large term and recalling that a square root is the same as a power of one half.
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
"As Premier of Ontario, the federal government has my full support for a strong and forceful response that matches U.S. tariffs dollar for dollar. Canada has so much of what America needs: high ...
A longterm relationship's demise was partly because a man joked that his girlfriend would have to buy her own ring if she ever wanted to get engaged.
The full eigenvalues are approximately [9],, (). For m < s {\displaystyle m<s} when the atomic ensemble, and not the photon field, is averaged, then the off-diagonal elements in H ^ T C {\displaystyle {\hat {H}}_{TC}} approximate as g c 2 n s ( m − n + 1 ) {\displaystyle g_{c}{\sqrt {2ns(m-n+1)}}} , smearing over the atomic degrees of freedom ...