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How do you write a polynomial with zeros: 2, 3, and 4?

1 Answer

Apr 23, 2016

$f (x) = x^{3} - 9 x^{2} + 26 x - 24$ $f(x) = x^3-9x^2+26x-24$

Explanation:

$f (x) = (x - 2) (x - 3) (x - 4) = x^{3} - 9 x^{2} + 26 x - 24$ $f(x) = (x-2)(x-3)(x-4) = x^3-9x^2+26x-24$

Any polynomial in $x$ $x$ with these zeros is a multiple (scalar or polynomial) of this $f (x)$ $f(x)$ .

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