1. Polynomials: Add, Subtract, Multiply, Divide, Factor, and Name them.
Study for your test!!!!

2. Perimeter mean…
Add all sides… C.L.T.
add the x’s
4x + 7x + x =
12x
The only number is
+ 3
Perimeter =
12x + 3

3. Distributive property:
5a7 • 4a7 =
20a14
5a7 • (–5b3) =
– 25a7b3
Put them together:
20a14 – 25a7b3

4. the area of the small one.
Area of the big square
minus
the area of the small one.
Area = length • width
(x – 2)(x – 2) – (2x)(2x)
x2 – 4x – 4x2
CLT
– 3x2 – 4x + 4

5. Degree means… 5 + 4 = 9th degree 8 + 4 = 12th degree
add the powers within each term.
5 + 4 =
9th degree
8 + 4 =
12th degree

6. First Outer Inner Last
6x – 9x – 8x
CLT
– 17x
6x2 – 17x

7. First Outer Inner Last
15x – 20x x – 12
CLT
– 11x
15x2 – 11x – 12

8. 16p2 – 36 First Outer Inner Last 16p2 + 24p – 24p – 36 CLT
ZERO “p” in the middle
16p2 – 36

9. 49p2 – 1 First Outer Inner Last 49p2 + 7p – 7p – 1 CLT
ZERO “p” in the middle
49p2 – 1

10. SIX multiplications in all…
4k • 2k2 =
8k3
4k • ( – 5k) =
– 20k2
4k • ( – 2) =
– 8k
5 • 2k2 =
10k2
5 • ( – 5k ) =
– 25k
5 • ( – 2 ) =
– 10
Combine like terms…
8k3
– 10k2
– 33k
– 10

11. Distribute the minus…
– 3w2 – 4w + 7
5w2 – 8w – 8
CLT
2w2
– 12w
– 1

12. Distribute the minus…
– 8w2 – 3w + 6
2w2 – 4w – 7
CLT
–6w2
– 7w
– 1

13. Notice that the terms are listed with the highest power first!
Remove the parenthesis…
NOTHING changes!
5u3 + 5u u3 – 2u + 5
CLT
8u3
+ 5u2
– 2u
+ 12
Notice that the terms are listed with the highest power first!

14. 24 and 21 can be divided by… 3
w10 and w6 can be divided by…
the smallest power…
w 6
24w w 6
3w w 6
3w 6 ( )
8w 4 7

15. 42 and 12 can be divided by… 6
w12 and w7 can be divided by…
the smallest power…
w 7
42w w 7
6w w 7
6w 7 ( )
7w 5 2

16. Remove the parenthesis…
NOTHING changes!
4u3 + 3u u3 – 7u + 8
CLT
7u3
+ 3u2
– 7u
+ 12

17. “cubic trinomial” The highest degree is… “third degree” or “cubic”
It has three terms…
“trinomial”
“cubic trinomial”

18. distribute the minus sign…
Area of the big rectangle…
minus
the area of the small one.
Area = length • width
(2x – 4)(5x – 6) – (x + 4)(x – 1)
( 10x2 – 32x + 24 ) – ( x2 + 3x – 4 )
distribute the minus sign…
– x2 – 3x + 4
CLT
9x2 – 35x + 28
Draw it out!!!
2x – 4
5x – 6
x + 4
x – 1
pool
10x2 – 32x + 24

19. Re-write as two parenthesis:
( 3x – 7 ) ( 3x – 7 )
First Outer Inner Last
9x – 21x – 21x
CLT
– 42x
9x2 – 42x

20. The highest degree/power is…
“fourth degree”
It has three terms…
“trinomial”
“fourth degree trinomial”

21. distribute the minus sign…
Area of the big rectangle…
minus
the area of the small one.
Area = length • width
(3x + 2)(2x – 3) – (x + 2)(x – 5)
( 6x2 – 5x – 6 ) – ( x2 – 3x – 10 )
distribute the minus sign…
– x x
CLT
5x2 – 2x + 4
6x2 – 5x – 6

22. STUDY!!!
DO YOUR BEST!
