Find the LCM of x²-5x-14 and 3x²+5x-2.
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Step-by-step explanation:
x²-5x-14
= x²-7x+2x-14
= x(x-7)+2(x-7)
= (x-7)(x+2)
3x²+5x-2
= 3x² +6x-1x-2
= 3x(x+2)-1(x+2)
= (x+2)(3x-1)
so LCM = (x+2)(x-1)(3x-1)
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