Objective - To add and subtract polynomials.

Monomial - A single term. A group of numbers and/or variables tiedtogether by multiplication ordivision but separated by addition or subtraction.

Examples:

5x 23x y 24a

3

25ab c

2xy

Coefficient - The number preceding a variable in a variable term.

single

Like Terms Unlike Terms

5x 4x23m 2m

7xy 2yx

22x y

32yx

4a

5a

5x y

3x 4

5xy 2y

24x 3x

25x y 27xy

Polynomial -many

A variable expression consisting of many termsthat can’t be combined.

Examples:5x 4 32y 3y 8

4 27m 3am 4m 6

Binomials: (two-term polynomials)3x x 2y 3 2n 4

Trinomials: (three-term polynomials)2x 3x 4 4 27y 3y 1

Add the following polynomials.

1)

2)

3)

(a 2) (3a 9)

2 2(x x) (7x 5)

2 2(4y 3y) ( y 8y 7)

4a 7

28x x 5

23y 5y 7

Subtract the following polynomials.1)

2)

3)

2 2(8x 5) (2x 4)

2 2( 6k 3k 1) (4k 2k)

2 2(8t 7) (2t 5t 6)

26x 9

210k k 1

26t 5t 13

2 28x 5 2x 4

2 26k 3k 1 4k 2k

2 28t 7 2t 5t 6

Subtract the following polynomials.

4)

5)

2 2( 7x 3x 2) (4x 7x 5)

2(4t 7) ( 2t 3t 10)

211x 10x 3

22t t 17

2 27x 3x 2 4x 7x 5

24t 7 2t 3t 10

A B C

Find the length of in terms of x. AC

1)

2)

2AB 4x 5x 2BC 3x 2x

2AB 6x 4x 5 2BC 2x 20x 3

AC AB BC

24x 5x23x 2x+27x 7x=

AC AB BC

26x 4x 5 22x 20x 3 24x 16x 2 =

A B C

Find the length of in terms of x. BC

1)

2)

2AC x 3x 2AB 3x 5x 4

2AC 5x 10x 7 2AB x 5x 1

BC AC AB

2x 3x2(3x 5x 4) 22x 2x 4 =

BC AC AB

25x 10x 7 2( x 5x 1) 26x 15x 8 =

Find the area of quadrilateral ABCD in terms of x.

A B

C D

23x 4 25x 3x

2x x 1 2x x 1 25x 3x23x 4+

29x 2x 3

Find the area of if the area ofrectangle LMNO is .

LMP210x 18x 4

L M

O N

P26x 5

1LMN (Rect.LMNO)

2

21LMN (10x 18x 4)

2

2LMN 5x 9x 2 2(6x 5) 2LMP x 9x 3