How do you write a polynomial function with the given zeros 1, –2, and 5?

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How do you write a polynomial function with the given zeros 1, –2, and 5?

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Answer 1 · 2017-01-15T22:47:52

$x^{3} - 4 x^{2} - 7 x + 10$ $x^3-4x^2-7x+10$

Explanation:

A polynomial with a zero at $x = a$ $x=a$ has a factor $(x - a)$ $(x-a)$ , so the required polynomial is: $(x - 1) (x + 2) (x - 5)$ $(x-1)(x+2)(x-5)$
$= (x^{2} + x - 2) (x - 5)$ $=(x^2+x-2)(x-5)$
$= x^{3} - 4 x^{2} - 7 x + 10$ $=x^3-4x^2-7x+10$

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How do you write a polynomial function with the given zeros 1, –2, and 5?

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