Factoring Polynomials

Front

What is the GCF (Greatest Common Factor) of the terms 12x^2 and 8x?

Back

The GCF is 4x.

Front

True or False: Factoring by GCF should always be the first step in factoring polynomials.

Back

True.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the factored form of the polynomial x^2 - 9?

Back

(x - 3)(x + 3) - This is a difference of squares.

Front

What is the formula for factoring a perfect square trinomial?

Back

a^2 + 2ab + b^2 = (a + b)^2.

Front

What is the factored form of the polynomial x^2 + 5x + 6?

Back

(x + 2)(x + 3).

Front

What is the difference of squares?

Back

The difference of squares is a^2 - b^2 = (a - b)(a + b).

Front

How do you factor the polynomial 2x^2 + 8x?

Back

Factor out the GCF: 2x(x + 4).

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the factored form of x^2 + 4x + 4?

Back

(x + 2)(x + 2) or (x + 2)^2.