Factoring Algebraic Expressions

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

The GCF is the largest factor that two or more numbers have in common. It is used to simplify expressions.

7(2w + 7m)

8(t - 4u)

Factoring out a negative term involves taking out a negative number from an expression, which changes the signs of the remaining terms.

-(2d + 7)

9(3w + 4)

To factor a polynomial, identify the GCF of the terms, then divide each term by the GCF and express the polynomial as a product of the GCF and the resulting expression.

Factor the area expression to find the length: Length = (2m - 5n) units.