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: You should always try factoring by GCF first.

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 first step in factoring the polynomial 2x^2 + 8x?

Back

Factor out the GCF, which is 2x, resulting in 2x(x + 4).

Front

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

Back

(x + 2)(x + 3) - This is a trinomial.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more terms.

Front

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

Back

(x - 2)(x - 2) or (x - 2)^2 - This is a perfect square trinomial.

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials helps to simplify expressions and solve equations.