Midterm Review 2 Factoring

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)

20x² + 44x⁵

• 2x²(10 + 22x³)

• 4x²(5x + 11x³)

• 4x²(5 + 11x³)

• 8x²(2 + 8x³)

6x² - 24x⁴

• 6x²(1 - 4x²)
• 2x²(3 -12x²)
• 3x²(2-8x²)
• 12x²(2 - 2x²)

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:  5x² - 6x - 8

• (5x + 1)(x - 8)
• (5x + 8)(x - 1)
• (5x + 2)(x - 4)
• (5x + 4)(x - 2)

Factor
4n²-17n-15

• (n-10)(6n+1)
• (4n-5)(n-3)
• (n-5)(4n-3)
• (n-5)(4n+3)