Polynom och räkneregler

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Mathematics (Ma3b) Flashcards on Polynom och räkneregler, created by Joacim Jonsson on 11/09/2017.
Joacim Jonsson
Flashcards by Joacim Jonsson, updated more than 1 year ago
Joacim Jonsson
Created by Joacim Jonsson about 7 years ago
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Question Answer
Polynom \[a+bx+cx^2+dx^3+...\] Ex: \(2.15+2.1x-0.41x^2\) \(-3x+8\)
Gradtal Högsta exponenten i ett polynom Grad 2: \(2.15-0.41x^2\) Grad 1: \(-3x+8\)
\(-(2x-3)=\) \(-(2x-3)=-2x+3\) Parentesregel: \(-(a-b) = -a+b\)
\(2x(x^2-5x)=\) \(2x(x^2-5x)=2x^3-10x^2\) Distributiva lagen: \(a(b+c)=ab+ac\)
\((7-2x)(3-4x)=\) \((7-2x)(3-4x)=\\7\cdot3-7\cdot4x-2x\cdot3+2x\cdot4x\) Distributiva lagen: \((a+b)(c+d)=ac+ad+bc+bd\)
\((3x+2)(3x-2)=\) \((3x+2)(3x-2)=9x^2-4\) Konjugatregeln: \((a+b)(a-b)=a^2-b^2\)
\((y-5)^2=\) \((y-5)^2=y^2-10y+25\) Kvadreringsreglerna: \((a+b)^2=a^2+2ab+b^2\) \((a-b)^2=a^2-2ab+b^2\)
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