# ALGEBRA Program

A menu driven program which contains a collection of utilities from an Intermediate Algebra level course.

You can use it to:

• Find the roots of a quadratic equation
• Find the greatest common factor of a list of natural numbers
• Factor a trinomial
• Perform synthetic division
• Solve a system of equations using Cramer's Rule

The user may either enter the coefficients from the quadratic equation in standard form (ax2+bx+c=0), or find the intercepts for the expressions graphed under y1 or y2.

### Greatest Common Factor

Enter a list of natural numbers separated by commas. Remember that lists must be enclosed in braces {}. The result returned is the GCF of the numbers.

### Factor a trinomial

This program will factor a trinomial ax2+bx+c. It uses the ac method of factoring and returns the result in factored form with grouping symbols.

### Synthetic Division

Enter a list of real numbers separated by commas. Remember that lists must be enclosed in braces {}. Then enter a value for x=a. The value returned will be a list which has been synthetically divided by x-a.

### Cramer's Rule

Enter the coefficients and constant from each equation as a list separated by commas. Remember that lists must be enclosed in braces {}. The program determines the number of lists to request the user for based upon the number of values entered in the first list. The results are stored into a matrix and then Cramer's Rule is applied to find the values of each of the variables. Any size system of linear equations may be entered up to the available memory of the calculator.