[PDF] Factoring Quadratic Expressions.pdf





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.

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________

Factoring Quadratic Expressions

Factor each completely.

1) x2 - 7 x - 182) p2 - 5 p - 14 3) m2 - 9 m + 84) x2 - 16 x + 63 5) 7 x2 - 31 x - 206) 7 k2 + 9 k 7) 7 x2 - 45 x - 288) 2 b2 + 17 b + 21 9) 5 p2 - p - 1810) 28
n4 + 16 n3 - 80 n2 -1-

©4 f2x0R1D2c TKNuit8aY ASXoqfytGwfacrYed fLKLvC6.u g eArlklA mrviZgLhBtQsd JrleospeGr7vHehdk.5 e kMjaWdre0 cwliDtEhC OI6ntfZikn0irt1ek xAIl7gzecbnrHaX m2H.6Worksheet by Kuta Software LLC

11) 3 b3 - 5 b2 + 2 b12) 7 x2 - 32 x - 60 13) 30
n2b - 87 nb + 30 b14) 9 r2 - 5 r - 10 15) 9 p2r + 73 pr + 70 r16) 9 x2 + 7 x - 56 17) 4 x3 + 43 x2 + 30 x18) 10 m2 + 89 m - 9

Critical thinking questions:

19) For what values of

b is the expression factorable? x2 + bx + 1220) Name four values of b which make the expression factorable: x2 - 3 x + b -2-

©n m2R0i1P2g WKwuotja0 eSyodf4tBwAahrmel tLNLzC6.r D AA6lHlw srdi8gGhLtRs1 pr7eBsMepr9vResdj.d e OM4addteU Bw1i6tNhr sIPnbfhi1nmiUtye1 iAVlCgqesbtr8ai C2e.YWorksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________

Factoring Quadratic Expressions

Factor each completely.

1) x2 - 7 x - 18 x - 9)( x + 2) 2) p2 - 5 p - 14 p + 2)( p - 7) 3) m2 - 9 m + 8 m - 1)( m - 8) 4) x2 - 16 x + 63 x - 9)( x - 7) 5) 7 x2 - 31 x - 20 7 x + 4)( x - 5) 6) 7 k2 + 9 k k( 7 k + 9) 7) 7 x2 - 45 x - 28 7 x + 4)( x - 7) 8) 2 b2 + 17 b + 21 2 b + 3)( b + 7) 9) 5 p2 - p - 18 5 p + 9)( p - 2) 10) 28
n4 + 16 n3 - 80 n2 4 n2( 7 n - 10)( n + 2) -1-

©e q2Z0V1u25 8Kvuxtkah GSSoffptdw9aprHeH 8LeL9Cd.r k SAsl5lD crQiigXhytcsE RrneDsUezrZvLeNdd.y 3 lMsaldFez kwri8t8hG fIHndfriinGiNtHeP 9AIlSgoeFb8rpao T2F.XWorksheet by Kuta Software LLC

11) 3 b3 - 5 b2 + 2 b b( 3 b - 2)( b - 1) 12) 7 x2 - 32 x - 60 7 x + 10)( x - 6) 13) 30
n2b - 87 nb + 30 b 3 b( 2 n - 5)( 5 n - 2) 14) 9 r2 - 5 r - 10

Not factorable

15) 9 p2r + 73 pr + 70 r r( p + 7)( 9 p + 10) 16) 9 x2 + 7 x - 56

Not factorable

17) 4 x3 + 43 x2 + 30 x x( x + 10)( 4 x + 3) 18) 10 m2 + 89 m - 9 m + 9)( 10 m - 1)

Critical thinking questions:

19) For what values of

b is the expression factorable? x2 + bx + 12

13, 8, 7, -13, -8, -7

20) Name four values of

b which make the expression factorable: x2 - 3 x + b

Many answers. Ex: 0, 2, -4, -10, -18

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

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