Factoring Quadratic Expressions Worksheet, Study notes of Algebra

Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2 ... Factor each completely. ... Many answers. Ex: 0, 2, −4, −10, −18.

Typology: Study notes

2021/2022

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Factoring Quadratic Expressions
Factor each completely.
1)
x
2
− 7
x − 18 2)
p
2
− 5
p − 14
3)
m
2
− 9
m + 8 4)
x
2
− 16
x + 63
5)
7
x
2
− 31
x − 20 6)
7
k
2
+ 9
k
7)
7
x
2
− 45
x − 28 8)
2
b
2
+ 17
b + 21
9)
5
p
2
p − 18 10)
28
n
4
+ 16
n
3
− 80
n
2
-1-
pf3
pf4

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Kuta Software - Infinite Algebra 2 Name___________________________________

Factoring Quadratic Expressions Date________________ Period____

Factor each completely.

  1. x^2 − 7 x − 18 2) p^2 − 5 p − 14
  2. m^2 − 9 m + 8 4) x^2 − 16 x + 63
  3. 7 x^2 − 31 x − 20 6) 7 k^2 + 9 k
  4. 7 x^2 − 45 x − 28 8) 2 b^2 + 17 b + 21
  5. 5 p 2 − p − 18 10) 28 n 4
  • 16 n 3 − 80 n 2 -1-

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  1. 3 b^3 − 5 b^2 + 2 b 12) 7 x^2 − 32 x − 60
  2. 30 n

b − 87 nb + 30 b 14) 9 r

− 5 r − 10

  1. 9 p^2 r + 73 pr + 70 r 16) 9 x^2 + 7 x − 56
  2. 4 x^3 + 43 x^2 + 30 x 18) 10 m^2 + 89 m − 9 Critical thinking questions:
  3. For what values of b is the expression factorable? x
  • bx + 12
  1. Name four values of b which make the expression factorable: x

− 3 x + b -2-

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  1. 3 b^3 − 5 b^2 + 2 b b ( 3 b − 2)( b − 1)
  2. 7 x^2 − 32 x − 60 ( 7 x + 10)( x − 6)
  3. 30 n

b − 87 nb + 30 b 3 b ( 2 n − 5)( 5 n − 2)

  1. 9 r

− 5 r − 10 Not factorable

  1. 9 p^2 r + 73 pr + 70 r r ( p + 7)( 9 p + 10)
  2. 9 x^2 + 7 x − 56 Not factorable
  3. 4 x^3 + 43 x^2 + 30 x x ( x + 10)( 4 x + 3)
  4. 10 m^2 + 89 m − 9 ( m + 9)( 10 m − 1) Critical thinking questions:
  5. For what values of b is the expression factorable? x
  • bx + 12 13 , 8 , 7 , −13, −8, −
  1. Name four values of b which make the expression factorable: x

− 3 x + b Many answers. Ex: 0 , 2 , −4, −10, − -2- Create your own worksheets like this one with (^) Infinite Algebra 2. Free trial available at KutaSoftware.com