Factoring by GCF and Grouping Review

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of two terms?

Back

To find the GCF, identify the common factors of the terms and choose the largest one.

Front

Factor the expression: x² - 5x - 36

Back

(x + 4)(x - 9)

Front

What is the GCF of 28y² and 49y²?

Back

7y²

Front

Factor by grouping: 4p³ + 8p² + 3p + 6

Back

(4p² + 3)(p + 2)

Front

What is factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler expressions.

Front

Factor the expression: 2x³ - 8x² - x + 4

Back

(2x² - 1)(x - 4)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

How do you factor a trinomial?

Back

To factor a trinomial, find two numbers that multiply to 'c' and add to 'b', then rewrite the trinomial as a product of two binomials.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b or x - 3.