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Unit 4 ~ Day A ~ Perfects & Factoring Using GCF

1. Perfect Squares & Perfect Cubes to Study!

Perfect Squares:

12 = _____
22 = _____
32 = _____
42 = _____
52 = _____
62 = _____
72 = _____
82 = _____
92 = _____
102 = _____
112 = _____
122 = _____
132 = _____
152 = _____
202 = _____
252 = _____

Perfect Cubes:

13 = _____
23 = _____
33 = _____
43 = _____
53 = _____
63 = _____
103 = _____

2. Factoring Using the Greatest Common Factor(GCF):

Greatest Common Factor (GCF)

1. Write the prime factorization of the numbers
2. Circle the pairs
3. Multiply to get the GCF

1. Find the GCF of 15 and 27 2. Find the GCF of 24 and 30

3. Find the GCF of 27 and 36 4. Find the GCF of 24 and 60

Finding the GCF of monomials

5. Find the GCF of x4 and 3x3 6. Find the GCF of 4x7 and 16x4

33337. Find the GCF of 7x3y and 28xy4 8. Find the GCF of 8x4y2z and 16xy5z4

Finding the GCF of 3 terms

9. Find the GCF of 63, 84, and 126

10. Find the GCF of 12x3, 14x6, and 18x2

11. Find the GCF of 17x5, x2133, and 4x9

12. Find the GCF of 18x6y3, 9x10y2, and 3x6y4

3. Factoring Monomials

****To factor a polynomial means to write the polynomial as a product of prime polynomials.

1. Find the GCF of each of the terms
2. Factor out the GCF from each of the terms

1. 6a3 + 15a =
2. 32b2 + 12b =
3. 12a5b2 + 16a4b =
4. 9x2 + 18y4 =
5. 7x2 – 15y =
6. y4 – 3y2 – 2y =
7. 2x5 + 3x4 – 4x2 =
8. x2y4 – x2y – 4x2 =
9. a5n + a2n =
10. 3x2y – 9xy + 12y =
11. 25x5 + 30x3 – 15x2 =
12. 20a5b3 + 30a3b2 – 40a2b3 =
13. 4x6 + 16x10 + 64x12 =
14.
15. Unit 4 Day A Homework Page:
16.
1. Find the GCF of 50 and 75
2. Find the GCF of 56 and 24
3. Find the GCF of 42 and 21
4. Find the GCF of 9st and 12tg
5. Find the GCF of 7a and 14b
6. Find the GCF of 18xy2 and

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