Middle School

Find a cubic function with the given zeros: \(\sqrt{7}, -\sqrt{7}, -4\).

A. \( f(x) = x^3 + 4x^2 + 7x - 28 \)
B. \( f(x) = x^3 + 4x^2 - 7x - 28 \)
C. \( f(x) = x^3 - 4x^2 - 7x - 28 \)
D. \( f(x) = x^3 + 4x^2 - 7x + 28 \)

Answer :

Answer:

f(x) = x^3 + 4x^2 - 7x - 28

Step-by-step explanation:

If the roots of this cubic function are Square root of seven, -Square root of seven, -4, then the factors must be (x^2 - 7)(x + 4).

Multiplying this out, we get f(x) = x^3 + 4x^2 - 7x - 28.

Note: Please use " ^ " to indicate exponentiation.

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