Given $\mathrm{g(}x)=2{{x}^{3}}-5{{x}^{2}}-3x+10$, Show that $(x-2)$ is a factor of \(\mathrm{g}

Question

Given $\mathrm{g(}x)=2{{x}^{3}}-5{{x}^{2}}-3x+10$, Show that $(x-2)$ is a factor of $\mathrm{g}(x)$. Hence solve the equation $\mathrm{g}(x)=0$, leaving your answers in exact form.

Accepted Answer

x=2,(1+sqrt(41))/4,(1-sqrt(41))/4.

Polynomials, Cubic Equations and Partial Fractions - Cubic Expressions and Equations

Polynomials, Cubic Equations and Partial Fractions - Cubic Expressions and Equations

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