SPECIAL PRODUCTS AND FACTORING

Question 1

COMMON MONOMIAL FACTOR CMF

a(x+y)

Answer 1

common monomial factor CMF

ax+ay

Question 2

DOTS

x+y)(x-y

Answer 2

DOTS (Difference of two squares)
x²−y²

*both terms are perfect squares

Question 3

SOTC (Sum of two cubes)

x+y) (x²-xy+y²

Answer 3

SOTC SUM OF TWO CUBES
x³+y³

*both terms are perfect cubes

Question 4

DOTC (Difference of two cubes)

x-y) (x²+xy+y²

Answer 4

DOTC DIFFERENCE OF TWO CUBES
x³-y³

*both terms are perfect cubes

Question 5

PST (PERFECT SQUARE TRINOMIAL)

(x+y)²

Answer 5

PST (PERFECT SQUARE TRINOMIAL)
x²+2xy+y²

• 2 squared terms preceded by the same sign
• the other term left is twice the product of the square roots of the two squared items

Question 6

PST (PERFECT SQUARE TRINOMIAL)

(x-y)²

Answer 6

PST (PERFECT SQUARE TRINOMIAL)
x²-2xy+y²

• 2 squared terms preceded by the same sign
• the other term left is twice the product of the square roots of the two squared items

Question 7

GQT (general quadratic trinomial)

x+a)(x+b

Answer 7

GQT (general quadratic trinomial)
x²+(a+b)x+ab

*AC TEST Ax² + Bx + C
Factors of AC whose sum is B

Question 8

GQT (general quadratic trinomial)

ax+b)(cx+d

Answer 8

GQT (general quadratic trinomial)
acx²+(bc+ad)x+bd

*AC TEST Ax² + Bx + C
Factors of AC whose sum is B