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1. Determine the prime factorization of 90.

2 • 3²• 5
  2²• 3 • 5
  2³• 11
  2²• 11

Question 2.2. Find the GCF of the terms of the polynomial.

24x⁴y + 21x³

4x³
  3x³
  168x⁴y
  3x⁴y

Question 3.3. Simplify.

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3
mn
²

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Question 4.4. Divide. (10a⁴ – 5a³) ÷ 5a

10a⁴ – 5a³ – 5a
  10a⁴ – 5a³ + 5a
  2a³ – 5a³
  2a³ – a²

Question 5.5. Determine whether the polynomial is a perfect square and if it is, factor it.

n² – 6n + 9

(Points : 4)

is not a perfect square
  is a perfect square: (n + 3)²
  is a perfect square: (n – 3)²
  is a perfect square: (n – 6)²

Question 6.6. Determine whether the polynomial is a difference of squares, if it is, factor it.

y² – 9

is not a difference of squares
  is a difference of squares: (y + 3)(y – 3)
  is a difference of squares: (y – 3)²
  is a difference of squares: (y + 3)²

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