M3 Lesson 3 Homework

What is the GCF? 12x+8

• 12
• 8
• 4
• x

  Factor  6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Factor: 8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Factor Completely: x² - 17x + 72

• (x-9)(x+8)
• (x-9)(x-8)
• x(x-3)
• (x+9)(x+8)

Solve: x² - 4x = 21

• {-7, 3}
• {-3, 7}
• {3, 7}
• {-3,-7}

Factor by Grouping:

p⁴ - 3p³ - 16p² + 48p

• p² ( p - 3) (p - 3)

• (p³ - 16) (p - 3)

• (p + 4) (p - 4) (p - 3)

• (p³ - 16p) (p - 3)

Factor Completely: 2k² - 14k - 60

• 2(k-10)(k-3)
• Not Factorable
• (k-5)(k+9)
• 2(k-10)(k+3)

Factor the Trinomial:

2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

Factor: x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Prime

• ( x - 20) ( x + 20)