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Factorise x^3-6x^2+9x.

x^3-6x^2+9x=x(x^2-6x+9)

observe binomial formula (x-3)^2=(x^2-6x+9)

Thus x(x-3)^2 and the function has two points meeting the x-axis.

Evita G. GCSE English tutor, A Level Maths tutor, A Level Physics tutor

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