Finding Roots of Polynomials by Factoring

Solve by Factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1
• x = 4 and x = 3
• x = 1/4 and x = -3
• x = -1/4 and x = 3

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Factor:
x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

Solve (x²-9) = 0

• x = 9

• x = 9, -9

• x = 3, -3

• x = 3

Solve by factoring: 3x⁴-6x²+3 = 0 (Hint: take out the GCF)

• { -1 mult. 2, 1 mult. 2}

• { - 1, 1}

• { 3 mult. 2, -3 mult. 2}

• {3, -3}

Solve: 2x²-14x+24 = 0

• x = 4, 3

• x = 9/2, 10/4

• x = -3, -4

• x = -9/2, -10/4

Find the solutions to the following:
x² = -9

• ±3
• ±√3
• ±i√3
• ±3i

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

How many solutions does the following expression have?

4w⁴ + 16w² + 15

• 4

• 2

• 15

• 3