Arithmetic Review

Evaluating Expressions

Simplify Expressions

Exponential Expressions

Factor by GCF

Factoring Polynomials

Factoring Part 2

Factoring Special Cases

Solving Equations

Translating into numerical expressions

Inequalities

Rational Expressions

Complex Fractions

Quadratic Equations

Building the Equation of the line

Graphing Lines

Graphing Inequalities

Absolute Value Inequalities

Absolute Value Equations

Functions

System of Equations

Word Problems

Radical Expressions

Quadratic Functions

Practice Pert Tests

Evaluating Expressions

Simplify Expressions

Exponential Expressions

Factor by GCF

Factoring Polynomials

Factoring Part 2

Factoring Special Cases

Solving Equations

Translating into numerical expressions

Inequalities

Rational Expressions

Complex Fractions

Quadratic Equations

Building the Equation of the line

Graphing Lines

Graphing Inequalities

Absolute Value Inequalities

Absolute Value Equations

Functions

System of Equations

Word Problems

Radical Expressions

Quadratic Functions

Practice Pert Tests

Factoring Trinomials with the first term other than 1

For example:

2X² + X -6

Step One

Multiply the first and the last term, in this case 2 and 6

2(6) = 12

Step Two

Find the factors of 12 give you 1X when added.

Factors of 12= (6,2),(12,1),(4,3)

You can see that (4,3) works perfectly because (4-3=1) , in this case

4X - 3X = X

Step Three

Arrange your factors so they have something in common, for example:

2X² +4X since I can factor the 2X

and -3X-6 since I can factor the 3

2X²+4X-3X -6

Now factor the first two terms

2X²+4X-3X -6

2X(X+2)-3(X+2)

(2X-3)(X+2)

Final answer: (2X-3)(X+2)

For example:

2X² + X -6

Step One

Multiply the first and the last term, in this case 2 and 6

2(6) = 12

Step Two

Find the factors of 12 give you 1X when added.

Factors of 12= (6,2),(12,1),(4,3)

You can see that (4,3) works perfectly because (4-3=1) , in this case

4X - 3X = X

Step Three

Arrange your factors so they have something in common, for example:

2X² +4X since I can factor the 2X

and -3X-6 since I can factor the 3

2X²+4X-3X -6

Now factor the first two terms

2X²+4X-3X -6

2X(X+2)-3(X+2)

(2X-3)(X+2)

Final answer: (2X-3)(X+2)