# SOLUTION: 8. (32y4 - 12y2 - 36y) ÷ (4y) 9. (3x2 + 11x – 20) ÷ (x + 5) 10. (6x3 + 19x2 + x – 6) ÷ (3x + 2)

Algebra ->  -> SOLUTION: 8. (32y4 - 12y2 - 36y) ÷ (4y) 9. (3x2 + 11x – 20) ÷ (x + 5) 10. (6x3 + 19x2 + x – 6) ÷ (3x + 2)      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 198793: 8. (32y4 - 12y2 - 36y) ÷ (4y) 9. (3x2 + 11x – 20) ÷ (x + 5) 10. (6x3 + 19x2 + x – 6) ÷ (3x + 2)Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!8) [ 32y^4 -12y^2-36y] / (4y) factor numerator (4y){8y^3 -3y -9] / (4y) 8y^3-3y-9 . 9) (3x^2 +11x -20 ) / (x +5) factor numerator [ ( 3x-4)(x+5) ] / (x+5) 3x -4 . 10) [ 6x^3 +19x^2 +x -6 ] / (3x+2) cannot factor and eliminate therefore use long division . .,,,,,,,,,,,,,,,,,,,,,,,,,2x^2 +5x -3 .,,,,,,,,,,,,,,_______________________ ,,,,,3x+2 ! 6x^3 +19x^2 +x - 6 ,,,,,,,,,,,,,,- (6x^3 +4x^2) ,,,,,,,,,,,,,,,,,____________ ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,15x^2 + x ,,,,,,,,,,,,,,,,,,,,,,,,,-( 15x^2 +10x) ,,,,,,,,,,,,,,,,,,,,,,,,,,_______________ ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-9x -6 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-( -9x -6 ) ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------- ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0 . (3x+2) (2x^2 +5x -3) factor again (3x +2) ( 2x-1) (x+3) . check by letting x=1 in both original and factored result,,,all ok