12.2 Factoring Review (Algebra 1)

Front

What is the greatest common factor (GCF) of the terms 8x^6 and 12x^4?

Back

The GCF is 4x^4.

Front

Factor the binomial 8x^6 - 12x^4 by taking out the GCF.

Back

4x^4(2x^2 - 3)

Front

What is the process of factoring a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression 3x^2 + 10x + 3 completely.

Back

(3x + 1)(x + 3)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

Factor the expression x^2 - 400 completely.

Back

(x - 20)(x + 20) - This is a difference of squares.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a - b)(a + b).

Front

Factor the binomial 12x^2y - 18xy^2 completely.

Back

6xy(2x - 3y)

Front

What is the first step in factoring a polynomial?

Back

Identify and factor out the greatest common factor (GCF) if there is one.

Front

Factor the expression x^2 + 6x + 20. Is it prime?

Back

PRIME - It cannot be factored into real number factors.