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 is the first step in factoring the polynomial x^2 + 5x + 6?

Back

Identify two numbers that multiply to 6 and add to 5, which are 2 and 3.

Front

Factor the polynomial x^2 - 9.

Back

(x - 3)(x + 3) (Difference of squares).

Front

What is the factored form of x^2 + 7x + 10?

Back

(x + 2)(x + 5).

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What does it mean to factor a polynomial?

Back

To express the polynomial as a product of its factors.

Front

Factor the expression 2x^2 + 8x.

Back

2x(x + 4) (Factoring out the GCF).

Front

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

Back

(x - 2)(x - 3).

Front

True or False: The expression x^2 + 4x + 4 can be factored as (x + 2)(x + 2).

Back

True.