Factoring Trinomials

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Multiple Choice

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Multiple Choice

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Multiple Choice

Factor: x² - 4x + 4

• (x + 2)²
• (x - 2)²
• (x + 4)²
• (x - 4)²

Multiple Choice

Factor: x² - 20x + 100

• (x-10)²

• (x+10)²

Multiple Choice

Factor: x² - 30x + 225

• (x + 15)²
• (x - 15)²
• (x + 25)²
• (x - 25)²

Multiple Choice

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)
• (n + 25)(n + 1)
• (n - 5)²
• (n + 5)²

Multiple Choice

Is this a perfect square trinomial?
x² + 16x + 64

• Yes
• No

Multiple Choice

Is this a perfect square trinomial?
x² + 18x + 9

• Yes
• No

Multiple Choice

Is this a perfect square trinomial?
x² + 14x + 49

• Yes
• No

Multiple Choice

Which of the following is a perfect square trinomial?

• x² – 4x – 4 
• x² – 6x – 9 
• x² + 6x – 9 
• x² – 4x + 4 

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Multiple Choice

Factor
x² + 11x + 24

• (x + 6)(x + 4)
• (x + 10)(x + 2)
• (x + 8)(x + 3)
• (x + 2)(x + 12)

Multiple Choice

Factor
n² + 16n + 63

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

Multiple Choice

Factor:

b² + 8b + 7

• (b + 4)(b + 3)

• (b + 6)(b + 1)

• (b + 7)(b +1)

• (b + 4)(b + 2)

Multiple Choice

Factor
x² - 5x - 36

• (x - 4)(x + 9)
• (x - 6)(x + 6)
• (x + 4)(x - 9)
• (x -12)(x + 3)

Multiple Choice

Factor:

x² - 15x + 50

• (x - 10)(x + 15)

• (x - 10)(x - 5)

• (x - 25)(x - 2)

• (x - 5)(x - 5)

Multiple Choice

Factor
k² - 2k - 24

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

Multiple Choice

Factor

x² - 9x + 20

• (x - 10)(x - 2)

• (x - 20)(x + 1)

• (x - 10)(x + 2)

• (x - 5)(x - 4)

Multiple Choice

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Multiple Choice

Factor:
x² + 0x - 144

• (x + 12)²
• (x - 12)(x + 12)
• (x - 12)²
• 12²

Multiple Choice

Factor
x² - 5x - 36

• (x - 4)(x + 9)
• (x - 6)(x + 6)
• (x + 4)(x - 9)
• (x -12)(x + 3)

Multiple Choice

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 5x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• 3(x - 5)(x - 1)

Multiple Choice

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

• 3
• 2
• 6
• 9

Multiple Choice

Factor Completely: 5v² - 30v + 40

• (5v - 8)(v - 5)

• (5v + 5)(v - 8)

• 5(v - 4)(v - 2)

• 5(v + 8)(v - 5)

Multiple Choice

Factor completely.
3x² - 9x -120

• 3(x - 8)(x + 5)
• 3(x + 8)(x - 5)
• (3x + 8)(x - 5)
• (3x - 8)(x + 5)

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