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Name______________________________________ Block ________________
Warm up – Find the product
1. (2x + 3)( x – 4)
2. (x – 5)(2x2 – 3x + 12)
Date 8-28-13
4. (3x – 4) (2x + 6)
3. (x + 3) 2
Factors are _________________ (or ____________________) you can __________________ together to get
another ____________________ (or ___________________________).
Factoring – writing a ________________________ as a ____________________ of ___________________.
Practice A – List all of the factors for each number. Label each number Prime or composite
1.
14
2. 11
3. 48
4. 64
5. 72
6. 44
_____________ ______________ ______________ ______________ _____________ _____________
Prime Numbers – numbers ___________________ than one, and have only factors of ______ and itself
Composite Numbers – numbers __________________ than one and have more than ________ factors
Greatest Common Factor – _____________________ quantity that is a ________________ of all the integers
or polynomials involved.
Practice B – Find the GCF
1. 12 , 8
2. 7, 20
3. 11, 44
4. 64 , 72
5.
44, 14
GCF of monomials or terms – 1. find the GCF of the ______________________.
2. ______________ the_______________________ they have in common.
3. Select the ___________________ ___________________ for each variable
Practice C – find the GCF
1. 4x3 + 6x7
2. 8y3z + 12y2z
3. 8x2y + 16x2yz
4. 14x6y3 + 35x3 y4
Practice D – Find the GCF of the polynomial
1. 6x3 – 9x2 + 12x
2. 14x4 + 7x3 – 21x2
5. 12x2 + 4x + 2
6. 27x3 – 36x2 + 3x
3. 36x3 – 12x2 + 6
4. 3x2 + 21x + 18
7. x3 + 2x2 – 3x
8. 12x4 – 18x2 + 6
Practice C – A-SSE.3 Factor. Factor out the GCF, if there is one. Then factor the left over polynomial.
1. x2 + 13x + 30
2. x2 – 11x + 24
3. x2 – 2x – 35
4. x2 – 6x + 10
5. 2a3 + 32a2 + 30a
9. 2p2 + 14p + 24
6. 3c3 – 9c2 + 6c
10. 2x2 + 13x + 20
13. 2a2 – 9a – 18
14. 2x2 – 6x – 20
17. 2y2 + 26y + 60
18.
m2 – 22m + 21
7. 3x2 + 5x + 2
11. 2n2 + 26n + 48
15. p2 + 5p + 6
19. 3d2 – 21d + 30
8. 5d2 + 6d – 8
12.
2x2 + 7x + 5
16. x2 + 12x + 27
20. 18b2 + 24b – 10
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