**1. Factor.**

Four term polynomial - factor by grouping.

**2. Factor.**

Three-term polynomial - factor trinomials using the trial and error technique.

**3. Factor.**

Two-term polynomial - first factor out the GCF. Then factor the resulting special binomial factors completely.

**4. Solve.**

First multiply to obtain standard form, equal to zero. Then factor and set each factor equal to zero.

**5. Solve.**

Factor and then set each variable factor equal to zero.

**6. Find a quadratic equation with integer coefficients that has the following solutions:**

Work the process for solving by factoring in reverse.

**7. Given**

**a. Calculate**

*f*(0).**b. Find all values of**

*x*for which*f*(*x*) = 0.**8. The product of two consecutive positive odd integers is eleven less than 10 times the larger. Find the integers.**

**9. The length of a rectangle is 6 cm longer than twice its width. If the area is 140 cm^2, find the dimensions of the rectangle.**

**10. The cost of a particular car in dollars can be approximated by the function**

**where**

*x*represents the age of the car in years (graphed below).

**a. Use the graph to determine the cost of the car when it was new?**

**b. Use the graph to determine how old the car will be when it reaches its minimum cost?**

**c. Use the function to determine how much this car will be worth when it reaches 5 years old?**