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How do you write a polynomial function in standard form given the roots x=-3,0,0,5?

1 Answer

Jun 10, 2017

$x^{4} - 2 x^{3} - 15 x^{2}$ $x^4-2x^3-15x^2$

Explanation:

$given the roots then the factors of the polynomial will be$ $" given the roots then the factors of the polynomial will be"$

$y = x^{2} (x + 3) (x - 5)$ $y=x^2(x+3)(x-5)$

$y = x^{2} (x^{2} - 2 x - 15)$ $color(white)(y)=x^2(x^2-2x-15)$

$y = x^{4} - 2 x^{3} - 15 x^{2} \leftarrow in standard form$ $color(white)(y)=x^4-2x^3-15x^2larrcolor(red)" in standard form"$

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