Factoring Polynomials

GCF

100

Solve this porblem 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

Grouping is also known as what

Factoring Pairs

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)

Real World

100

What job uses polynomials to build roller coasters?

Engineer

200

what do astronomers use polynomials for

Astronomers use polynomials to help in finding new stars and planets and calculating their distance from Earth, their temperature and other features

300

Peekaboo

YES-Peekaboo

400

How are polynomials used in the real world?

Mathmatics to to express numbers as a result of mathematical operations

500

what do scientists use polynomials for 

to measure relationships between characteristics such as force, mass and acceleration.

Trivia!

100

what does is mean when a polynomial is prime?

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree

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 five things included in factoring polynomials

• Grouping like terms

• Finding the difference of perfect squares:

• Factoring quadratic trinomials

• Factoring using real and complex numbers

• Finding the greatest common factor

400

15x²-18x-24

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

500

what is the inverse process of factoring polynomials

multiplying polynomials