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A polynomal of degree of 2 that has zeros -4 and 2 is

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9514 1404 393

Answer:

f(x) = x^2 +2x -8

Explanation:

If p and q are zeros of a quadratic, its factored form is ...

f(x) = (x -p)(x -q)

For your zeros, the factored form is ...

f(x) = (x +4)(x -2)

Expanded using the distributive property, this is ...

f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8

f(x) = x^2 +2x -8

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