Download Name Block ______ 8-30-13 Warm up -

Name ______________________________________ Block __________
8-30-13
Warm up --Write each polynomial in standard form Simplify if necessary . Then classify it by degree & by # of terms.
1. 3x5  6x2  5 + x2
4.
c3(5  c2)
2. a  2a + 3a
3. (5x2 + 2x  8) + (5x2  4x)
5. (5s3  2s2)  (s4 + 1)
6.
x(3x)(x + 2)
Practice A – simplify, then explain in complete sentence(s) how to do it. Do not just name the method.
1. (3x2 + 2x – 5) + (4x2 – 4x + 3) 2. (x3 + 2x2 – 5) + (–3x3 –2x2 +10) 3. (x2 – 4x + 2) + (x2 +7x – 8 )
Add Polynomials____________________________________________________________________________
4. (3x2 + 2x – 5) – (4x2 – 4x + 3)
5. (x3 + 2x2 – 5) – (–3x3 –2x2 +10) 6. (x2 – 4x + 2) – (x2 +7x – 8 )
Subtract polynomials ________________________________________________________________________
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7. -3y(4y3 + 5yz2)
8. 9h5(3h – 5p)
9. 7k(4k + 5m2)
10. 8t(-2t3 + 9)
11. 5(4g+ g6)
Multiply a monomial and a polynomial __________________________________________________________
__________________________________________________________________________________________
12. (x + 4)(x – 9)
13. (y + 3)(2y + 7)
14. (3w – 7)(9w + 6)
15. (9q – 8)(7q – 6)
Multiply 2 binomials ________________________________________________________________________
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16.
24 x 4  36 x 3  12x 2
4 x2
17.
24 x 4  36 x 3  12x 2
4 x2
18.
24 x 4  36 x 3  12x 2
4 x2
Divide a polynomial by a monomial_____________________________________________________________
_________________________________________________________________________________________
Practice B – Factor out the GCF
1. 4x4 + 12x3 + 2x
2. 3x2 + 6x – 15
3. 6x3 – 15x2 + 7x
4. 10x4 – 15x3 – 20x2
5. 20x3 – 16x2 + 8x
6. 7x2 – 3x + 5
7. 8x2 – 50
8. 27x3 – 12x
Practice C – factor the rational expressions, State and excluded values.
1.
4 x  12
x3
2.
6a  9
12
3.
6.
18d 2
4d  8
7.
2 p  24
4 p  48
8.
12.
x 2  8 x  16
x4
6 z  12
11.
2z 2  7z  6
15.
a 2  3a  2
3a  3
19.
5  4n
4n  5
3x 2  9 x
x3
13.
2x  8
2
x  2x  8
16.
20.
6 x  12
8 x  16
12  4t
t  2t  3
2
2m  5
6m  15
9.
3x  6
3x 2
m6
2
m  m  42
17.
21.
4.
4m  8
4  2m
m4
2
m  2m  8
22.
5.
10.
14.
18.
m2
4  2m
4 z  12
8 z  24
2x 2  2x
3x 2  3x
a 2  2a  1
5a  5
b 2  8b  15
b5
23.
4w
w  8w  16
2