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Math M03 Quiz #2 Cheat Sheet by

math     what     college

Exponents

(anm­=an+m
am/a­n­=am-n
a0=1
a-n=­1/an

FOIL Method

Factoring by Grouping

Find a 2 numbers whose sum is b and products of c

More factoring

1. 3xy-4x­-12y+16
2. x(3y-4) 4(3y-4)
3.(3y-­4)(x-4)
*Between 1&2: factor first 2 terms and last 2 terms separately
Between 2&3: remove the numbers on the outside and put them in parent­hesis

Greatest common Factor

letters: each term has to have one
Numbers: the highest number all of terms can multiply into
letter­s:Chose the one with the lowest exponent

Complex Fractions

Simplify the numerator and the denomi­nator of the complex fraction so that each is a single fraction. Perform the indicated division by multip­lying the numerator of the complex fraction by the reciprocal of the denomi­nator of the complex fraction. Simplify if possible.
 

Solving with Scientific notation

separate between the operation for each term then solve each, then combine
(2x10­3)­(1.8­x1­0-7)

2x1.8=3.6

103x­10­-7­=10-4
Answ­er: 3.6x10-4

Special case Polyno­mials

1. (a+b)­2=­a+2­ab+b2
2.(a+b­)(a­-b)­=a­2-b2
3. (A-B)­2=­A-2­AB+B2
4.a2­+2a­b+b­2­=(a­+b)^2
5.a3­+b­3=­(a+­b)(­a-a­b+b2
6.a3­-b­3=­(a-­b)(­a+a­b+b2
2. Only applies to subtra­ction

Equations And Graphs

Equations and Graphs 2

MORE Factoring

 

Solving f(x)

Replace the x in the equation (next to the letter) with the equation that comes after the equal sign

Factoring Trinomials

Factoring trinomials 2

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