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

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

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

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 + 4 – 4x2 CLT – 3x2 – 4x + 4

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

First Outer Inner Last 6x2 – 9x – 8x + 12 CLT – 17x 6x2 – 17x + 12

First Outer Inner Last 15x2 – 20x + 9x – 12 CLT – 11x 15x2 – 11x – 12

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

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

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

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

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

Notice that the terms are listed with the highest power first! Remove the parenthesis… NOTHING changes! 5u3 + 5u2 + 7 + 3u3 – 2u + 5 CLT 8u3 + 5u2 – 2u + 12 Notice that the terms are listed with the highest power first!

24 and 21 can be divided by… 3 w10 and w6 can be divided by… the smallest power… w 6 24w 10 + 21w 6 3w 6 3w 6 3w 6 ( + ) 8w 4 7

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

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

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

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

Re-write as two parenthesis: ( 3x – 7 ) ( 3x – 7 ) First Outer Inner Last 9x2 – 21x – 21x + 49 CLT – 42x 9x2 – 42x + 49

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

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… – x2 + 3x + 10 CLT 5x2 – 2x + 4 6x2 – 5x – 6

STUDY!!! DO YOUR BEST! 