4.2 Factoring (GCF, Difference of Squares, Grouping) Quick Check

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify fractions and factor polynomials.

Front

How do you factor by GCF?

Back

To factor by GCF, identify the largest factor common to all terms in the expression and factor it out.

Front

Factor the expression: 17xy - x

Back

x(17y - 1)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states: a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: 25x^2 - 100

Back

25(x + 2)(x - 2)

Front

What is the formula for factoring a difference of squares?

Back

The formula is: a^2 - b^2 = (a + b)(a - b).

Front

Factor the polynomial: 121r^2 - 64t^2

Back

(11r + 8t)(11r - 8t)

Front

What is factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler expressions.

Front

Factor the expression: 4p^3 + 8p^2 + 3p + 6

Back

(4p^2 + 3)(p + 2)

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.