Polynomials Quiz--Zeros, Multiplicity, Factoring

Which of the following is NOT a perfect square trinomial?

• x² – 16x + 64 
• x² – 10x + 20 
• x² – 28x + 196 
• x² – 24x + 144 

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Which of the following is a perfect square trinomial?

• x² + 14x – 49 
• x² + 20x + 100 
• x² – 8x + 4 
• x² – 5x + 6 

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3x² - 75

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

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x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable

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Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

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Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

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• (x+1)(x +1)

• (x - 1)(x - 1)

• prime

• (x + 1)(x - 1)

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Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

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Which number is both a perfect square and a perfect cube?

• 64

• 27

• 81

• 16

Factor using difference or sum of cubes.  (use your notes!) a³ + b³

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

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