Factoring Review Day 37

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

Factor the expression using the GCF: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in an expression to factor out common factors.

Front

Factor the expression using the GCF: 4x^2 + 12x + 44

Back

4(x^2 + 3x + 11)

Front

What is a difference of squares?

Back

A difference of squares is a special factoring case where an expression is in the form a^2 - b^2, which factors to (a + b)(a - b).

Front

Factor the expression: 100x^2 - 169

Back

(10x + 13)(10x - 13)

Front

What is the X-Puzzle method in factoring?

Back

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

Front

What type of factoring is used for the expression 20n^4 + 25p^2?

Back

GCF

Front

Factor the expression: n^2 + 5n - 6

Back

(n + 6)(n - 1) using the X-Puzzle method.

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.