Factoring Review Day 37

Front

What is the SOFAS method in factoring?

Back

SOFAS stands for Sum of the First and the Last. It is used to factor the difference of cubes or sum of cubes.

Front

Factor the expression using SOFAS: 27b^3 - 125

Back

(3b - 5)(9b^2 + 15b + 25)

Front

What is an X-Puzzle in factoring?

Back

An X-Puzzle is a method used to factor quadratic expressions by finding two numbers that multiply to the constant term and add to the linear coefficient.

Front

Factor the expression using an X-Puzzle: x^2 + 6x - 55

Back

(x + 11)(x - 5)

Front

What type of factoring is used for n^3 + 27?

Back

SOFAS (Sum of Cubes) is used to factor n^3 + 27.

Front

What type of factoring is used for 81n^2 - 25?

Back

DOS (Difference of Squares) is used to factor 81n^2 - 25.

Front

Factor the expression using an X-Puzzle: a^2 + 18a + 45

Back

(a + 15)(a + 3)

Front

What is the GCF method in factoring?

Back

GCF stands for Greatest Common Factor. It is used to factor out the largest common factor from the terms of an expression.

Front

Factor the expression using GCF: 4x^2 + 8x

Back

4x(x + 2)

Front

What is the difference of squares?

Back

The difference of squares is a factoring technique used for expressions in the form a^2 - b^2, which factors to (a + b)(a - b).