Solving quadratic factoring
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Functions 11 - University of Waterloo
www.cemc.uwaterloo.ca• Use partial factoring to determine the vertex of a quadratic relation. • Solve problems involving substitution into a quadratic relation. • Solve problems that require solving a quadratic equation. • Solve problems that involve finding the maximum or minimum of a quadratic relation.
Completing the Square - Germanna Community College
www.germanna.edu“Completing the square” is another method of solving quadratic equations. It allows trinomials to be factored into two identical factors. Example: 2 + 4 + 4 ( + 2)( + 2) or ( + 2)2 To complete the square, it is necessary to find the constant term, or the last number that will enable factoring of the trinomial into two identical factors.
Solving Quadratic Factoring - cdn.kutasoftware.com
cdn.kutasoftware.comSolving Quadratic Equations by Factoring Date_____ Period____ Solve each equation by factoring. 1) (k + 1)(k − 5) = 0 2) (a + 1)(a + 2) = 0 3) (4k + 5)(k + 1) = 0 4) (2m + 3)(4m + 3) = 0 5) x2 − 11 x + 19 = −5 6) n2 + 7n + 15 = 5 7) n2 − 10 n + 22 = −2 8) n2 + 3n − 12 = 6 9) 6n2 − 18 n − 18 = 6 10) 7r2 − 14 r = −7-1-
A Computational Introduction to Number Theory and …
shoup.net10.4 Factoring and computing Euler’s phi function 320 10.5 Notes 324 11 Finding generators and discrete logarithms in Z p 327 11.1 Finding a generator for Z p 327 11.2 Computing discrete logarithms in Z p 329 11.3 The Di e–Hellman key establishment protocol 334 11.4 Notes 340 12 Quadratic reciprocity and computing modular square roots 342