Factoring Trinomials with GCF

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you factor a trinomial?

Back

To factor a trinomial, look for two numbers that multiply to the constant term and add to the coefficient of the middle term.

Front

What is the first step in factoring a polynomial?

Back

The first step is to factor out the GCF (Greatest Common Factor) from all the terms.

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

Factor completely: 5v² - 30v + 40

Back

5(v - 4)(v - 2)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest factors, including any GCF.

Front

Factor completely: 3x² - 9x - 120

Back

3(x - 8)(x + 5)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

Factor completely: 2c² + 2c - 84

Back

2(c + 7)(c - 6)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.