Factoring Polynomials

GCF

100

Solve this problem using GCF

y³+9y²

y²(y+9) 

200

x²+9x+20

(x+5)(x+4)

300

2y²-16y+32

2(y-4)²

400

4x³-25x²+6x

x(4x-1)(x-6)

500

ay-yx-x²+ax

(y+x)(a-x)

Grouping

100

12a³ − 9a² + 4a − 3

(3a² + 1)(4a − 3)

200

5x³ - 10x² + 3x - 6

(5x² + 3)(x - 2)

300

m³ − m² + 2m − 2

(m² + 2)(m − 1)

400

192x² y + 72x³ − 24rxy − 9rx²

3x(8x − r)(8y + 3x)

500

105xuv + 60xv − 70xu − 90xv²

5x(7u − 6v)(3v − 2)

Identity

100

a² - b² = ?

(a + b)(a - b)

200

(a - b)(a² + ab + b²) = ?

a³ - b³

300

Factor: 125x³ + 64y³

(5x + 4y)(25x² - 20xy + 16y²)

400

Factor: x² - 10x + 25

(x - 5)²

500

Factor: 2x³ + 54

2(x + 3)(x² - 3x + 9)

Trivia!

100

What is a polynomial? 

An expression with more than one term separated with (+) or (-)

200

What does it mean to factor a polynomial

Factoring polynomials involves breaking up a polynomial into simpler terms so when  the terms are multiplied together they equal the original polynomial.  

300

What are the four methods to factoring polynomials?

• GCF

• Applying Identities

• Grouping

• Rewrite

400

15x²-18x-24

3(5x+4)(x-2)

500

what is the inverse (opposite) process of factoring polynomials

multiplying polynomials/ distributing