Which among the following equations has roots | vedclass

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(B) Let $\alpha$ be a root of the equation $x^3-x^2+x-4=0$. To find the equation whose roots are the negatives of the roots of the given equation,we s

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$x^3+x^2+x+4=0$

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(B) Let $\alpha$ be a root of the equation $x^3-x^2+x-4=0$. To find the equation whose roots are the negatives of the roots of the given equation,we substitute $x$ with $-x$. Substituting $-x$ for $x$ in the original equation: $(-x)^3 - (-x)^2 + (-x) - 4 = 0$ $-x^3 - x^2 - x - 4 = 0$ Multiplying the entire equation by $-1$,we get: $x^3 + x^2 + x + 4 = 0$ Thus,the required equation is $x^3 + x^2 + x + 4 = 0$.

Which among the following equations has roots that are negatives of the roots of the equation $x^3-x^2+x-4=0$?

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