The function f is defined by a polynomial. Some values of x and f(x) are shown in the table above..

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Official SAT Test 3, Section 3, Question 7:

The function f is defined by a polynomial. Some values of x and f(x) are shown in the table above. Which of the following must be a factor of f(x) ?
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Thank you so much you are so helpful, I am currently studying for my SAT in August. I only have three weeks left to raise my score, I am trying to study 3+ hours everyday.

Bianca_
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Bro you're a lifesaver. Hope you know that. You're the G bro

moonseongwon
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would the sat always have a pair where f(x) = 0 so that it could be solved this easily?

ethanc
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Can you post a detailed video of the explanation please?

sarafaisal
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what if you choose the first table set instead of the 4 and 0? will you be able to get the same answer?

yukiqiuu
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So would a shortcut be to just find what value of x is equal to f(x)=0 and inverse it?

chloearaujo