3.3.3 Solve Polynomials by Factoring

Factor p³ - 3p² - 16p + 48 

• p² ( p - 3) (p - 3) 
• (p² - 16) (p - 3)  
• (p + 4) (p - 4) (p - 3) 

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Solve for x

3x² - 6 = -9

• ±1

• ±i

• ±3

• ±3i

What are the roots of the following factored polynomial?
(x+1)(x-1)(2x+1)=0

• x= -1/2, -1, 1
• x= 1/2, -1, 1
• x = - ± 1
• x= 1/2, 1

Solve the polynomial equation by factoring:  $x^3+24x=10x^2$  

•  $x=0,4,6$  

•  $x=0,2,\ -12$  

•  $x=3,8$  

•  $x=2,3,4$  

Solve the polynomial equation by factoring:  $x^4+13x^2=-36$  

•  $x=0,0,2,3$  

•  $x=\pm\sqrt{2},\pm\sqrt{3}$  

•  $x=\pm3i,\pm2i$  

•  $x=\pm4,\pm9$