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Polynomial Reference Sheet Linear Function Formulas Finding the Zeros of a Polynomial Slope = ___________ Long Division (____________________) Slope-Intercept Form= ____________________ Sample Point-Slope Form = ________________________ Standard / General Form = __________________ Correlation Types Synthetic Division (_______________________) Sample Quadratic Function Vocab: Vertex = (____ , ____) Axis of Symmetry x = __ *It is a root if _______________________ Complex Numbers Polynomial Vocab Demo: ________________________________ i = ______ Coefficient = ______ Leading Coefficient = _____ Degree = ______ Conjugates:______________ and ____________ i2= _____ Argand Plane (Complex Plane) Linear = _____ Quadratic = _____ Cubic = ______ Quartic = ______ Quintic = ______ Zeros/roots/solutions/factors/x-intercepts Use end-behavior and multiplicity to aid in making graphs Fundamental Theorem of Algebra Rational Function Graphs 1.) Factor denominator (if possible) 2.) VA (set denominator = 0)___________ 3.) HA Top Heavy________________ Balanced__________________ Bottom Heavy_______________ Sample: y = _____________________ Solving Rational Equations 1.) 2.) 3.) 4.) 5.) Factor the denominators if possible Find the LCD Multiply through by it Solve the remaining equation Eliminate extraneous solutions Sample: Solving Polynomial & Rational Inequalities 1.) Factor (if possible) 2.) Set up sign chart 3.) Test each piece of the problem for + or – 4.) Determine overall sign (+ or -) 5.) Interpret sign chart Sample:
