Factoring

Factor out the GCF:
12x + 6

• 6(2x + 1)
• 3(4x + 2)
• 6x(2x + 1)
• 2(6x + 3)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Factor:
x² - 5x - 14

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

Which of the following is a factor of x²-10x+24?

• x-4
• x+4
• x+6
• x-2

Factor Completely: 
3x² + 18x +15

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor:
2x² + 11x + 14

• (x + 7)(2x + 2)
• (x + 2)(2x + 7)
• (x + 14)(2x + 1)
• (x + 1)(2x + 14)

Factor:x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)