PRODUCT OF TWO BINOMIALS: FOIL

• First Outer Inner Last
• Multiply the first variable and the second variable
• Next multiply the first number and the second variable
• Then multiply the first variable and the last number
• Finally multiply the first number and the last number

PRODUCT OF TWO BINOMIALS: BOX

• Make a box and divide it into four parts
• Put each number on one side of the box
• Multiply the numbers
• Clean up the kitchen
• Put the expression in its usual form

FACTORING QUADRATIC POLYNOMIALS

• Take the last number of the expression and divide it
• Once you have all the factors match the numbers that add up go the second coefficient
• To find the sign look at the second sign, if it is + then the first sign stays the same.
• If the sign is - then the signs are different in each parenthesis
• Put an x in both parenthesis, the sign, and the two factors

FACTORING QUADRATIC TRINOMIALS: 3RD TERM NEGATIVE

• This is the same as factoring positive quadratic trinomials
• Because it is negative you have to subtract
• Example: x2-8x+12= (x-2)(x-6)

THE FAMOUS ONE

• First put an x in each parenthesis
• Find the square root of the number
• Put a - sign in one of the parenthesis
• Put a + sign in one of the parenthesis

SQUARING A BINOMIAL

• Square the first term
• Add twice the product of two terms
• Add the square of the last term

FACTORING TRINOMIAL SQUARES

• Check the first and last terms to find if they are perfect squares
• Check the middle term
• Middle: twice the product of the square roots of the 1st and last term
• If the expression has one or none of those things it is not a trinomials square

FACTORING QUADRATIC TRINOMIALS: 1ST COEFFICIENT NOT 1

• Find the factors of the last number
• Then multiply the first coefficient and add the 2nd coefficient
• Multiply it using the FOIL method to check your answer

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