Factoring and Polynomials

Basics

100

3 (x + 4)

3x + 12

200

-2(3x-5)

 -6x + 10

300

(2x-3)(x+5)

2x² + 7x - 15

400

6x² + 9x

3x(2x + 3)

500

x² + 5x + 2x + 10

x(x+5) + 2(x+5)

Expanding and Special Cases

100

(7k − 3)(k²− 2k + 7)

7k³ − 17k² + 55k − 21

200

x⁴ - 16

(x−2)(x+2)(x²+4)

300

(3x + 5)(2x −1)− 3(5x + 7)

6x² - 8x - 26

400

(2m - 1)² - 16n²

(2m−1−4n)(2m−1+4n)

500

(3x−4)² −2(x+1)(x−1)−(2x+1)² +(x−5)(x+5)

4(x²−7x−2)

Complex Factoring

100

Factor the following:  

6x² -5x -21

ans: (3x−7)(2x+3)

200

Factor the following: 

36 - 3t - 3t²

ans: −3(t+4)(t−3)

300

What’s the formula for factoring complex trinomials?

ans: ax² + bx+ c

400

Factor the perfect square trinomial (k question)

64x²  −𝑘𝑥+ 36  

ans: k = 96

500

Factor the followign k questions (not perf. Square)

6x²+kx−5.   

ans: k = -7, 7