HW - FACTORING (GCF & GROUPING)

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you factor by grouping?

Back

To factor by grouping, group terms with common factors, factor out the GCF from each group, and then factor out the common binomial.

Front

Factor the expression: 4p³ + 8p² + 3p + 6

Back

(4p² + 3)(p + 2)

Front

Factor the expression: 18a² - 15a

Back

3a(6a - 5)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the GCF of the trinomial: 3x² - 9x - 120?

Back

3

Front

Factor the expression: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.