2 Using factor theorem, factorize x3-2x2-5x+6
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Step-by-step explanation:
x3+2x2−5x−6
=x3+x2+x2−5x−6
=x2(x+1)+x2+x−6x−6
=x2(x+1)+x(x+1)−6(x+1)
=(x+1)(x2+x−6)
=(x+1)(x2+3x−2x−6)
=(x+1)[x(x+3)−2(x+3)]
=(x+1)(x+3)(x−2).
Hopw it helps
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