01:640:135 Quiz: Pre-Calculus Cheat Sheet.docx
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Slope intercept form: y = mx + b. Distance formula: d = ( 2 x1)2+( 2 y1)2 x y. Difference quotient: f ( x +h) f (x) f ( x)= Plug the function into the equation f ( x)=[2 (x+h )2+(x+h)] [2 x2+x] h. Closed intervals: [c,d] means c d x. Open intervals: (c,d) means c < x < d. Factoring: (a x2+b+c)= (dx+e)(fx+g) (dx fx) = a x2 (dx g) + (fx e) = b (e g) = c. Difference of two squares: x y2 = ( x y ( x + y) Difference of two cubes: ( 3 b3)=(x y) (a b)( 2+ab+b2) (x y)= . Example: (2x 3y)( 2+6xy+9y2) (8 x3 27 y3)= a a a a. Sum of two cubes: ( 3+b3)=(x + y) (a+b)( 2 ab+b2) ( x+ y)= . = 1 sec cos tan = sin cos . Trigonometric values: csc = 1 sin sec = 1 cos cot = 1 tan .