1.

Factorize : x3-7x+6.

Answer»

x³ -7x +6= 0=> x³ - x - 6x +6 = 0=> X(x²-1) -6(x-1)=0=> X(X+1)(x-1) -6(x-1)=0=> (x-1)(x²+x-6)=0=> (x-1)(x²+3x-2x+6)=0=> (x-1)(X(X+3)-2(X+3))=0=> (x-1)(X+3)(x-2)=0=> X = 1,2,-3.

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