How do you write a polynomial in standard form given the zeros x=-4, 5. -1?

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Answer 1 · 2016-05-26T09:58:51

$x^{3} - 21 x - 20 = 0$ $x^3-21x-20=0$

If ${α, β, γ, δ, . .}$ ${alpha,beta,gamma,delta,..}$ are the zeros of a function, then the function is

$(x-alpha)(x-beta)(x-gamma)(x-delta)...=0$

Here zeros are $-4$ , $5$ ) and $-1$ , hence function is

$(x-(-4))(x-5)(x-(-1))=0$ or

$(x+4)(x-5)(x+1)=0$ or

$(x^2+4x-5x-20)(x+1)=0$ or

$(x^2-x-20)(x+1)=0$ or

$x^3-x^2-20x+x^2-x-20=0$ or

$x^3-21x-20=0$