# A cubic #3x^3-2x^2-kx+2 # has a root #x=1#. Find the value of #k# and all three roots?

# k=3 #

Roots are

Therefore, we can now write:

Thus:

And we can factorise this quadratic, giving

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The value of ( k ) is 7. The three roots of the cubic equation ( 3x^3 - 2x^2 - kx + 2 = 0 ) are ( x = 1, x = -\frac{1}{3}, ) and ( x = 2 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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