naming polynomials polynomial add/sub multiplying polynomials operations on functions composite...

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Naming Polynomi als Polynomi al Add/Sub Multiplyi ng Polynomia ls Operation s on Functions Composit e Function s Multi- Variable Problems 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

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Page 1: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Naming Polynomials

Polynomial Add/Sub

Multiplying Polynomials

Operations on Functions

Composite Functions

Multi-Variable

Problems

100 100 100 100 100 100

200 200 200 200 200 200

300 300 300 300 300 300

400 400 400 400 400 400

500 500 500 500 500 500

Page 2: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Naming Polynomials – 100

Classify by degree and number of terms. 50 extra points for giving the special degree name if it has one.

x35

5th degree (quintic) monomial

Page 3: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Naming Polynomials – 200

Classify by degree and number of terms. 50 extra points for giving the special degree name if it has one.

9x

1st degree (linear) binomial

Page 4: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Naming Polynomials – 300

Classify by degree and number of terms. 50 extra points for giving the special degree name if it has one.

x3

4

3rd degree (cubic) binomial

Page 5: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Naming Polynomials – 400

Classify by degree and number of terms. 50 extra points for giving the special degree name if it has one.

1232 xx

2nd degree (quadratic) trinomial

Page 6: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Naming Polynomials – 500

Classify by degree and number of terms. 50 extra points for giving the special degree name if it has one.

6

0th degree monomial (constant)

Page 7: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Polynomial Add/Sub – 100

Simplify:

)4()72( xx

11x

Page 8: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Polynomial Add/Sub – 200

Simplify:

)94()43(22 xx

52 x

Page 9: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Polynomial Add/Sub – 300

Simplify:

)74()12(22 xxx

842 xx

Page 10: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Polynomial Add/Sub – 400

Simplify:

)154()12(23 xxxx

xxx 3423

Page 11: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Polynomial Add/Sub – 500

Find the perimeter:

4x xx 422

9523 xxx

543523 xxx

Page 12: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multiplying Polynomials – 100

Simplify:

)542(3 24 xxx

xxx 1512635

Page 13: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multiplying Polynomials – 200

Find the product:

)5)(52( xx

251522 xx

Page 14: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multiplying Polynomials – 300

Find the area:

15 x

15 x

1252x

Page 15: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multiplying Polynomials – 400

Simplify:

)12()3(2 xx

3118423 xxx

Page 16: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multiplying Polynomials – 500

Find the volume:

1x

6x3x

1815423 xxx

Page 17: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Operations on Functions – 100

If and find (f+g)(x).

5)( xxf xxxg 32

)(

522 xx

Page 18: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Operations on Functions – 200

If and find (f-g)(x). 5)( xxf xxxg 32

)(

542 xx

Page 19: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Operations on Functions – 300

If and find5)( xxf xxxg 32

)( ))(( xgf

xxx 15823

Page 20: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Operations on Functions – 400

If and find 5)( xxf xxxg 32

)( )2(

g

f

2

3

Page 21: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Operations on Functions – 500

If and find5)( xxf xxxg 32

)( )(xgf

xxx

32 5

Page 22: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Composite Functions – 100

If and find5)( xxf xxxg 32

)( )(xgf

532 xx

Page 23: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Composite Functions– 200

If and find5)( xxf 92)( xxg )(xgf

42 x

Page 24: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Composite Functions – 300

If and find5)( xxf 92)( xxg )(xfg

12 x

Page 25: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Composite Functions – 400

If and find5)( xxf xxxg 32

)( )(xfg

40132 xx

Page 26: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Composite Functions – 500

If and find5)( xxf xxxg 32

)( )3(fg

88

Page 27: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multi-Variable Problems – 100

Simplify:

)83(22

yxxy

xyyx 16632

Page 28: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multi-Variable Problems – 200 Find the difference:

xzxzxx 9345

xzxx 592

Page 29: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multi-Variable Problems – 300 Find the sum:

yxyyxxyxyx 2432

3223323

yxyyxx 3223 3

Page 30: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multi-Variable Problems – 400 Find the area:

yx

9xy

xyyxyx 2299

Page 31: Naming Polynomials Polynomial Add/Sub Multiplying Polynomials Operations on Functions Composite Functions Multi- Variable Problems 100 200 300 400 500

Multi-Variable Problems – 500

Simplify:

zxyzyx 62

22

zyyzxzx 224

412