Factoring GCF and DOTS

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 5x² and 20x?

Back

The GCF is 5x.

Front

Factor the expression: 2n³ + 16n + 12

Back

2(n³ + 8n + 6)

Front

What is the GCF of the terms in the expression x⁵y² + x²y⁷z?

Back

x²y².

Front

Factor out the GCF from 3x³ + 9x.

Back

3x(x² + 3).

Front

What does DOTS stand for in factoring?

Back

Difference of Two Squares.

Tags

CCSS.HSA.APR.C.4

Front

Provide an example of a DOTS expression.

Back

x² - 9 = (x - 3)(x + 3).

Tags

CCSS.HSA.APR.C.4

Front

What is the formula for factoring DOTS?

Back

a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 49m³q² - 35mq² - 42m³q⁴p².

Back

7mq²(7m² - 5 - 6m²p²q²).

Front

What is the first step in factoring an expression?

Back

Identify and factor out the GCF.