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Factorise 6 x...

Question

Factorise 6x^2+17x+5 using factor theorem.

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Solution

6x^2 + 17x + 5 =0

6x^2 + 2x + 15x + 5 = 0
2x( 3x+1) +5(3x+1)=0
(2x+5)(3x+1)=0
x= -5/2, -1/3

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