REVIEW

Sum/difference of cubes

100

x⁶-1

(x³ -1 ) (x²+x+1)

200

3-81h³

3(1-3h) (1+3h+9h²)

300

m³ + 343n³

(m+7n) (m² - 7mn+49n²)

400

384a³+6

6(4a+1) (16a²-4a+1)

500

24c⁸+375c²d

3c²d ( 2c²+5) (4c⁴-10c² +25 )

factoring 3 or 4 terms

100

s⁴-2s²-24

(s²+6) (s+2) (s-2)

200

6t³-3t²+4t-2

(2t-1) (3t²+2)

300

2x³-5x²+40x-100

(x²+20) (2x-5)

400

6x²+15x-21

3(x-1) (2x+7)

500

2x³-3x²-32x+48

(x²-16) (2x-3)

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

Solving by factoring

100

x⁶+x⁴=0

x=0 , x= ±i

200

4x³-6x²=4x²

x=0, x=2.5

300

x⁴-49=0

x=±i√7 , x=±√7

400

7x⁴+12x²-8=5x²+6

x=±1 , x=±i√7

500

x³-343=0

x=7 , x=-7±7i√3/2

Dividing Polynomials

100

(n³ − 5n² + 6) ÷ (n − 5)

n² + 6 / (n − 5) 

200

(x³ − 7x³− 21x + 25) ÷ (x + 3)

x² − 10x + 9 − 2 /( x + 3 ) 

300

(6x³+18x²-36) ÷ ( x +7 )

6x²- 24x+168 - 1212/ (x+7) 

400

(13a²-2a +7 ) ÷ ( a² + 4 ) 

13+ -2a - 45 / ( a²+4 )

500

( 8a³ + 14a² + a - 6 ) ÷ ( 2a+9 ) 

4a² -11a + 50 -456 / ( 2a+9)

operations w/ polynomials

100

(f+g) (x) 

6x²+3x-45

200

(g-h) (x)

2x-58

300

(f+g+h) (x)

6x²+4x-35

400

(g ٠ f) (x) 

18x³-288x²+9x-144

500

(f/h) (x)

6x-60+603/x+10