SOLUTION: Divide and simplify: 3x^2+13x+4 / 3x^2-5x-12 ---------- ---------- 16-x^2 3x-12 Thank you

Question 34189: Divide and simplify:
3x^2+13x+4 / 3x^2-5x-12
---------- ----------
16-x^2 3x-12
Thank you
Found 2 solutions by mukhopadhyay, Prithwis:
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
3x^2+13x+4 = (3x+1)(x+4);...(1)
16-x^2 = (4+x)(4-x);........(2)
(1)/(2) = (3x+1)/(4-x)......(3)
3x^2-5x-12 = (3x+4)(x-3)....(5)
3x-12 = 3(x-4) = -3(4-x).....(6)
(3)/[(5)/(6)] = (3)(6)/(5) = [(3x+1)/(4-x)](-3)(4-x)/(3x+4)(x-3)
= -3(3x+1)(3x+4)(x-3)
Answer by Prithwis(166) (Show Source): You can put this solution on YOUR website!
3x^2+13x+4 = (3x+1)(x+4);...(1)
16-x^2 = (4+x)(4-x);........(2)
(1)/(2) = (3x+1)/(4-x)......(3)
3x^2-5x-12 = (3x+4)(x-3)....(5)
3x-12 = 3(x-4) = -3(4-x).....(6)
(3)/[(5)/(6)] = (3)(6)/(5) = [(3x+1)/(4-x)](-3)(4-x)/(3x+4)(x-3)
= -3(3x+1)(3x+4)(x-3)

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