Infinite Algebra 1 - Review - Operations with

Algebra 1

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Review - Operations with Polynomials and Factoring

Date________________ Period____

Simplify each expression. 1) (8x 3 - x 4 + 3x) + (3 - 6x 4 + 5x) A) B) C) D)

-7x 4 + 7x 3 + 8x + 3 -7x 4 + x 3 + 8x + 3 -7x 4 + 8x 3 + 8x + 3 -7x 4 + 4x 3 + 8x + 3

3) (3b - 8b 4 + 8b 3 ) - (3b 3 - 7b 4 + 8b 2 ) A) B) C) D)

2) (1 - 5a - 4a 4 ) - (2 + a + 5a 4 ) A) B) C) D)

-9a 4 - 6a - 1 -9a 4 - 10a - 1 -9a 4 - 14a - 9 -9a 4 - 10a - 9

4) (6b 3 - 4b 4 + 7) + (4 - 5b 3 + b 2 )

-b 4 + 5b 3 - 13b 2 + 3b -b 4 + 5b 3 - 8b 2 + 3b -b 4 + 12b 3 - 13b 2 + 7b -b 4 + 12b 3 - 13b 2 + 3b

A) B) C) D)

-4b 4 + b 3 + b 2 + 11 -4b 4 + b 3 + b 2 + 4 -4b 4 - 7b 3 + b 2 + 4 -4b 4 - 7b 3 + 5b 2 + 4

Divide. 5) (n 2 + 12n + 32) ¸ (n + 8) A) n + 2 +

6) ( x 2 + 9x + 14) ¸ ( x + 7)

9 n+8

1 x+7 2 B) x + 2 x+7 C) x + 2 2 D) x + 4 + x+7 A) x + 5 +

B) n + 4 4 n+8 12 D) n + 1 + n+8 C) n + 1 +

Find each product. 7) (n + 2)(2n - 4) A) B) C) D)

6n 2 - 24n + 24 2n 2 - 8 9n 2 - 27n + 18 9n 2 + 36n + 36

9) (4 + x)(4 - x) A) B) C) D)

8) (6n + 6)(7n - 6) A) B) C) D)

42n 2 + 6n - 36 24n 2 - 32n - 56 42n 2 + 78n + 36 42n 2 - 36

10) (7a - 7)

16 + 8x + x 2 36 + 12x + x 2 36 - x 2 16 - x 2

A) B) C) D)

2

49a 2 - 98a + 49 49a 2 - 49 49a 2 + 49 7a + 49 Worksheet by Kuta Software LLC

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Factor each completely. 11) a 2 + 11a + 10 A) B) C) D)

2(a - 5)(a + 2) a ( a - 1) (a - 6)(a + 10) (a + 10)(a + 1)

13) 5n 2 + 35n - 90 A) B) C) D)

A) B) C) D)

A) B) C) D)

Not factorable 4( x + 5)( x + 1)

5(a + 7)(a - 1) 5(a - 7)(a + 1) a( a + 3 ) 5(a + 7)(a + 1)

16) b 2 + 11b + 24

( x + 8)( x + 5) ( x - 8)( x - 5) ( x - 8)( x + 5) ( x - 7)( x + 9)

17) b 2 - 25

( x - 10)( x + 7) ( x + 5)( x + 1)

14) 5a 2 + 30a - 35

5(n + 9)(n + 2) 5(n + 9)(n - 2) 3(n - 5)(n - 6) (n - 2)(n + 8)

15) x 2 - 13x + 40 A) B) C) D)

12) 4x 2 + 24x + 20

A) B) C) D)

(b - 3)(b - 8) (b + 3)(b + 8) (b - 3)(b + 8) (b + 3)(b - 8)

18) 9x 2 - 25 A) (3x + 5)(3x - 5)

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A) (b - 5) B) (2b + 5)(2b - 5)

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B) (3x - 5) C) (3x + 2)(3x - 2) D) (5x + 2)(5x - 2)

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C) (b + 25) D) (b + 5)(b - 5)

Worksheet by Kuta Software LLC

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