Find a polynomial function of degree 3 with real coefficients that has the given zeros.
\[
-1,2,-5
\]
The polynomial function is $f(x)=x^{3}+\square x^{2}-7 x-10$.

Answer

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Answer

$\boxed{f(x) = x^3 + 4x^2 - 7x - 10}$

Steps

Step 1 ：Given the zeros of the polynomial function: $-1, 2, -5$

Step 2 ：Find the factors using the zeros: $(x + 1)(x - 2)(x + 5)$

Step 3 ：Multiply the factors to find the polynomial function: $x^3 + 4x^2 - 7x - 10$

Step 4 ：$\boxed{f(x) = x^3 + 4x^2 - 7x - 10}$