Answer :

Answer:

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

Step-by-step explanation:

We want to rewrite

[tex]f(x) = {x}^{2} + 8x - 20[/tex]

in the form that would most easily help you identfiy the zeros of the function.

This the same as writing in factored form.

[tex]f(x) = {x}^{2} + 10x - 2x - 20[/tex]

Factor by grouping:

[tex]f(x) = {x}(x+ 10)- 2(x + 10)[/tex]

Factor further to get:

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

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