Factoring Trinomials

When factoring, x² + 9x - 36, you look for the factors of

• 36 that add to 9

• 36 that subtract to 9

• 9 that add to 36

• 9 that subtract to 36

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

When factoring n² + 16n + 63, you look for the factors of

• 16 that add to 63

• 16 that subtract to 63

• 63 that subtract to 16

• 63 that add to 16

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

When factoring 3a² + 4a + 1, find the factors of

• 1 that add to 4

• 3 that add to 4

• 4 that add to 1

• 4 that add to 3

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

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

Factor completely.
5x²-15x+10

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