Algebra III - 5.7 - Roots and Zeros

Solve the equation.  $x^2-3x-10=0$  (Select all that apply)

State the number and type of roots.  $x^2-3x-10=0$  

Solve the equation.  $0=x^3-8$  

State the possible number of positive real zeros, negative real zeros, and imaginary zeros of the function.  $f\left(x\right)=x^3-2x^2+2x-6$  

Find all the zeros of the function.  $f\left(x\right)=x^3+9x^2+6x-16$  

Find all the zeros of the function.  $f\left(x\right)=x^3+7x^2+4x+28$  

Find all the zeros of the function.  $f\left(x\right)=x^4-6x^3+9x^2+6x-10$  

State the number and type of roots.  $0=x^3-8$  

Solve the equation.  $x^3+12x^2+32x=0$  

Write a polynomial function of least degree with integral coefficients that have the given zeros: 4, -1, 6