Factoring Polynomials

Factoring when a=1

100

x²+13x+22

(x+2) (x+11)

200

x²+9x+20

(x+5)(x+4)

300

x²+21-46

(x+23) (x-2)

400

x²-15x + 54

(x - 6) (x - 9)

500

x²-14x-32

(x-16) (x+2)

Factoring when a> 1

100

2x²+5x+ 6

Prime

200

5x²-6x-8

(5x+4)(x-2)

300

4x²-25x+6

(4x-1)(x-6)

400

6x²-5x-4

(3x-4) (2x+1)

500

12x²+11x-5

(4x+5) (3x+1)

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

How many planets are in our solar system?

8

400

What is the largest organ in the human body?

Skin

500

what is the inverse process of factoring polynomials

multiplying polynomials

Factoring polynomials with 4 terms

100

12a³ − 9a² + 4a − 3

(3a² + 1)(4a − 3)

200

m³ − m² + 2m − 2

(m² + 2)(m − 1)

300

3x³+21x²+x+7

(3x²+1) (x+7)

400

64xy + 24x² − 8ry − 3rx

(8x − r)(8y + 3x)

500

2x³ - 3x² + 18x - 27

(x²+9) (2x -3)