# algebra

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What are the zeros of the function? what are their multiplicities
f(x)=4x^3-20x^2+24x

numbers -3,-2,and 0 are multiplicity of 1
numbers 3,2,and 0 are multiplicity of 1

• algebra -

Common factor of

4 x ^ 3 - 20 x ^ 2 + 24 x
are 4x

4 x ^ 3 - 20 x ^ 2 + 24 x / 4
x =

x ^ 2 - 5 x + 6

OR

4 x ^ 3 - 20 x ^ 2 + 24 x = 4 x * ( x ^ 2 - 5 x + 6 )

4 x = 0 when x = 0

Solutions of equation :

x ^ 2 - 5 x + 6

are

x = 2 and x = 3

Solutions of equation :

4 x ^ 3 - 20 x ^ 2 + 24 x = 0

are

x = 0

x = 2 and

x = 3

• algebra -

thank you

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