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REVIEW:Polynomial Operations ______________________________ I will be able to add, subtract, multiply, and divide polynomials. Name Per Part 1: Order of Operations and Fractions 1.) 4 + 2 x 12 6 8 = 2.) 9 3 + 6 x 2 = 3.) 3 + 4 6 + 2 x 35 = 4.) 2 7 + 3 7 = 5.) 4 5 + 1 2 = 6.) 3 1 5 3 Part 2: Add these polynomials. Only combine things that are alike (have the same exponent). 7.) ( ) 13 10 7 ( ) 12 12 19 2 2 x x x x 8.) ( ) 18 15 19 ( ) 7 6 4 2 2 x x x x 9.) (17x 2 + 7x - 14) - (-6x 2 - 5x - 18) 10.) (-18x 2 + 4x - 16) - (15x 2 + 4x 1) Part 3: Use the distributive property to find the product (multiply). 11.) ) 7 2 ( 6 2 x x 12.) 3x²(4x³ 5x + 10) Part 7: Use division and the distributive property to simplify. Divide EVERY term. 13.) 2 2 4 5 15 20 x x x 14.) x x x x 7 3 3 4 Use the FOIL Method to simplify the following: 15.) (x 3)(x + 4) 16.) (2x + 4)(2x + 3) 17.) (x + 5)(x 2 6x + 3) 18.)(2x 3)(4x 2 + 8x 2)

Polynomials Worksheet #1 review.pdf · REVIEW:Polynomial Operations _____ I will be able to add, subtract, multiply, and divide polynomials. Name Per

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Page 1: Polynomials Worksheet #1 review.pdf · REVIEW:Polynomial Operations _____ I will be able to add, subtract, multiply, and divide polynomials. Name Per

REVIEW:Polynomial Operations ______________________________ I will be able to add, subtract, multiply, and divide polynomials. Name Per

Part 1: Order of Operations and Fractions

1.) 4 + 2 x 12 6 – 8 = 2.) 9 3 + 6 x 2 = 3.) 3 + 4 – 6 + 2 x 35 =

4.) 27

+37

= 5.) 45

+12

= 6.) 3

1

5

3

Part 2: Add these polynomials. Only combine things that are alike (have the same exponent).

7.) ( )13107()121219 22 xxxx 8.) ( )181519()764 22 xxxx

9.) (17x2 + 7x - 14) - (-6x2 - 5x - 18) 10.) (-18x2 + 4x - 16) - (15x2 + 4x – 1)

Part 3: Use the distributive property to find the product (multiply).

11.) )72(6 2 xx 12.) 3x²(4x³ – 5x + 10)

Part 7: Use division and the distributive property to simplify. Divide EVERY term.

13.) 2

24

5

1520

x

xx 14.)

x

xxx 73 34

Use the FOIL Method to simplify the following:

15.) (x – 3)(x + 4) 16.) (2x + 4)(2x + 3)

17.) (x + 5)(x2 – 6x + 3) 18.)(2x – 3)(4x2 + 8x – 2)