Review- Polynomials, Quadratic Form and Functions

Write the polynomial in standard form. Identify the degree and leading Coefficient of the polynomial. Then Classify the polynomial by the number of terms.

 $9+d^2-3d$  

Write the polynomial in standard form. Identify the degree and leading Coefficient of the polynomial. Then Classify the polynomial by the number of terms.

 $\frac{2}{3}m^4-\frac{5}{6}m^6$  

Find the sum

 $\left(2x^2+5\right)+\left(-x^2+4\right)$  

Find the diffrence
 $\left(-p^2+4p\right)-\left(p^2-3p+15\right)$  

Find the product
 $\left(3z-5\right)\left(3z+5\right)$  

Find the product
 $\left(t+5\right)^2$  

Find the axis of symmetry and the vertex of the function

 $f\left(x\right)=-6x^2+24x-20$  

Describe the domain and range 
 $f\left(x\right)=2x^2+12x+4$  

*HINT*

Graph the function

Describe and correct the error in finding the axis of symmetry of the graph of
 $y=3x^2-12x+11$  

Tell whether the function has a minimum or a maximum value. Then find the value
 $y=-\frac{1}{2}x^2-11x+6$