If f(x)=x^3-4x^2-37x+40f(x)=x 3 −4x 2 −37x+40 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.

Given:

The function is:

To find:

The all of the zeros of f(x) algebraically.

Solution:

We have, is means 8 is a zero of given function and (x-8) is a factor of given function.

The function is:

Spittle the middle terms in such a way so that we get (x-8) as a common factor.

Spittle the middle term of the quadratic expression, we get

For zeros, .

Therefore, the all zeros of the given function are -5, 1 and 8.

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4th option is correct xy=-10

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