Question

find the zeroes of the polynomial
${x}^{3} - {5}^{2} + 6x$


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Answer 1

Answer:

x

3

−5x

2

+6x

Let f(x)=x

3

−5x

2

+6x

⇒x(x

2

−5x+6)

⇒x(x

2

−2x−3x+6)

⇒x[x(x−2)−3(x−2)]

⇒x(x−2)(x−3)

⇒x=0orx=2orx=3

∴ Zeroes of the polynomial f(x) are three.i.e.0,2 and 3.

Hope this helps you.