Factoring ax^2+bx+c, a is not 1 - The Learning Lab at HFCC

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7) m • n = 70 and m n 37210 37 7y− y += − − +210y 2y 35y72y ( 5y 1) 7( 5y1)( 5y1)( 2y7)= − − −= − −8) m • n = − 4 and m n 322x− 3x− 2= − + −22x 4x 1x22x( x 2) 1( x 2)( 5a1)( a 4)= − + −= − +9) m• n = 14 and m + n = − 5+ = − ( m = − 2, n = − 35)+ = − ( m = − 4, n = + 1)No integers work not factorable using integers.10) = ( 6x + y)( x + 2y)11) m • n = − 20 and m n 15a − ab − 4b2 2= 5a + 4ab − 5ab − 4b2 2a( 5a 4b) b( 5a 4b)( 5a 4b)( a b)= + − += + −+ = − ( m = + 4, n = − 5)12) No integers work not factorable using integers.13) m • n = 21 and m n 223r − 22rs + 7s2 2= 3r −1rs − 21rs + 7s2 2r ( 3r s) 7s( 3r s)( 3r s)( r 7s)= − − −= − −14) = 2x( 3x − 5)( x + 2)+ = − ( m = − 1, n = − 22)Revised 03/09 8
15)18x + 39xy + 6y2 22 2( x xy y )= 3 6 + 13 + 22 2= 3⎡⎣6x + 1xy + 12xy + 2y⎤⎦⎡⎣x( x y) y ( x y)( x y)( x y)= 3 6 + + 2 6 += 3 6 + + 2⎤⎦Note:m • n = + 12 and m + n = + 13 ( m = + 1, n = + 12)16) = 4( y + 1)( 8y− 9)17)a ac c215 + 10 − 252( )= 5c 3a + 2a− 5= ⎡⎣− + −25c 3a 3a 5a5⎤⎦⎡⎣( ) ( )( )( a )= 5c 3a a − 1 + 5 a −1⎤⎦= 5c a − 1 3 + 5Note:m • n = − 15 and m + n = + 2 ( m = − 3, n = + 5)18) = x 2 y 2( 4x + 1)( 2x+ 1)NOTE: You can get additional instruction and practice by going to thefollowing websites:http://www.purplemath.com/modules/factquad.htm This website givesexplanations and examples. Be sure to click on “NEXT” at the bottomof each page for continued instruction.http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut7_factor.htm This website gives step-by-step instructionalong with practice problems and videos for some examples.Revised 03/09 9
Page 1 and 2: HFCC Math Lab Beginning Algebra -19
Page 3 and 4: Step 5: ( 8x1)( x 6)= − − Facto
Page 5 and 6: x x x2= 3 − 12 + − 4 Split the
Page 7: Answers with solutions for most pro

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