5.6 Finding zeros of a function

Find all the zeros of the function:  $f\left(x\right)=x^3-3x^2+x-3\ with\ x=3\ as\ given\ zero.$  

•  $x=3,\ \sqrt{19},\ -\sqrt{19}$  

•   $x=3,\ 1,\ -1$  

•  $x=3,\ i,\ -i$  

•  $x=3,\ i\sqrt{19,}-i\sqrt{19}$  

Find all roots using the given zero.
 $y=x^3-13x^2+27x+9;\ x=3$  

•  $x=3,\ -5+2\sqrt{7},\ -5-2\sqrt{7}$  

•  $x=3,\ 5+2\sqrt{7},\ 5-2\sqrt{7}$  

•  $x\ =\ 3,\ 5+\sqrt{82},\ 5-\sqrt{82}$  

•  $x=3,\ -5+i\sqrt{82},\ -5-i\sqrt{82}$  

Given the polynomial  $y\ =x^4+15x^3+61x^2-281x-1068\ ^{ }$  and zeros of x = -3 and x = 4. Find all the zeros of the function.

•  $x=-3,\ 4,\ -8+3\sqrt{17},\ -8-3\sqrt{17}$  

•  $x=-3,\ 4,\ -3,\ -13$  

•  $x=-3,\ 4,\ 8+5i,\ 8-5i$  

•  $x=-3,\ 4,\ -8+5i,\ -8-5i$  

Find all roots using the given roots. $f\left(x\right)=x^4+4x^3+7x^2+16x+12;\ x=-3,\ -1$  

•  $x=-1,\ -3,\ 2,\ -2$  

•  $x=\ -3,\ -1,\ 4,\ -4$  

•  $x=-1,\ -3,\ \sqrt{2},\ -\sqrt{2}$  

•  $x=-3,\ -1,\ -2i,\ 2i$