Factoring GCF and Trinomials

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: 56a³ - 8a

Back

8a(7a² - 1)

Front

What is the first step in factoring polynomials?

Back

Look for the Greatest Common Factor.

Front

Factor the trinomial: x² + 2x - 24

Back

(x + 6)(x - 4)

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

What is a trinomial?

Back

A polynomial with three terms.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c, where a, b, and c are constants.

Front

How do you factor a trinomial of the form x² + bx + c?

Back

Find two numbers that multiply to c and add to b.