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Pthomas5
Here is how you would work it out step by step.

You have to factor the equation you're given. (To check you factorization you can "FOIL" it and make sure it matches the original equation)

Then set the two answers you get from FOILing to zero and you should get your answers.
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MrRoyal

The zeros of the polynomial function are -6 and 10

The polynomial function is given as:

[tex]f(x)=x^2-4x-60[/tex]

Expand the function

[tex]f(x)=x^2-10x+6x-60[/tex]

Factorize the above function

[tex]f(x)=x(x-10)+6(x-10)[/tex]

Factor out x - 10

[tex]f(x)=(x+6)(x-10)[/tex]

Set the function to 0

[tex](x+6)(x-10) = 0[/tex]

Solve for x

x = -6 or x =10

Hence, the zeros of the polynomial function are -6 and 10

Read more about zeros of polynomials at:

https://brainly.com/question/21092013

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