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What’s the answer to this question ?

What’s the answer to this question ?-example-1
User Key
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1 Answer

3 votes

Answer:

the correct choice is marked

Explanation:

The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:

(x +3)(x -3) = x^2 -9

The zero crossing at -1 tells you that x+1 is a factor.

So, the polynomial factors as ...

f(x) = (x^2 -9)(x +1)

Multiplying this out, we get ...

f(x) = x^2(x +1) -9(x +1)

f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice

User Todd Anderson
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