MATH 8-QUARTER 1 WEEK 1(Factoring Polynomials)

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

5x(1+3y)

5y(x+3)

5(x+3y)

5(1+3y)

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

$$\left(3a+5\right)^2$$  

$$\left(3a-5\right)^2$$  

$$\left(5a+3\right)^2$$  

$$\left(5a-3\right)^2$$  

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

$$\left(1-9n\right)\left(1+9n+81n^2\right)$$  

$$\left(1+9n\right)\left(1-9n+81n^2\right)$$  

$$\left(1-9n\right)\left(1+9n-81n^2\right)$$  

$$\left(1-9n\right)\left(1-9n+81n^2\right)$$  

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

$$xy\left(7x+y^2\right)$$  

$$xy\left(7+y^2\right)$$  

$$xy\left(7x+y^{ }\right)$$  

$$xy\left(7+y^{ }\right)$$  

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

(7x-16a)(7x+16a)

(7x-8a)(7x+8a)

(7x-16a)(7x-16a)

(7x-8a)(7x-8a)

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

(x-2)(x+12)

(x+2)(x-12)

(x-6)(x+4)

(x-4)(x+6)

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

$$a\left(a^3+b^3\right)$$  

$$a\left(a^{ }+b^3\right)$$  

$$a\left(a^3+b^{ }\right)$$  

$$a\left(a^{ }+b^{ }\right)$$  

COMMON MONOMIAL FACTOR

DIFFERENCE OF THE TWO SQUARES

SUM OR DIFFERENCE OF TWO CUBES

PERFECT SQUARE TRINOMIAL

QUADRATIC TRINOMIAL

(3x - 2)(x - 3)

(3x + 2)(x - 3)

(3x - 2)(x + 3)

(3x + 2)(x + 3)