I have been presented with a problem which involves using the factor theorem. The problem states,
[math]2x^2+x+1[/math] is a factor of [math]p(x)=2x^3-5x^2-2x+b[/math].Find b and the roots of [math]p(x)=0[/math]
Usually with these problems the factor is in the form [math](x-c)[/math] I have tried to further factor and solve the given factor of [math]p(x)[/math] although it cannot be factored any further and the solutions give a complex number. Could anyone kindly give me some guidance involving this problem?
Thank you!
[math]2x^2+x+1[/math] is a factor of [math]p(x)=2x^3-5x^2-2x+b[/math].Find b and the roots of [math]p(x)=0[/math]
Usually with these problems the factor is in the form [math](x-c)[/math] I have tried to further factor and solve the given factor of [math]p(x)[/math] although it cannot be factored any further and the solutions give a complex number. Could anyone kindly give me some guidance involving this problem?
Thank you!