Factor GCF, Difference of Squares, a=1

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you factor the expression y² - 196?

Back

y² - 196 can be factored as (y + 14)(y - 14) using the difference of squares formula.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

Factor the expression 2n² - 8n³.

Back

2n² - 8n³ can be factored as 2n²(1 - 4n).

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF of all the terms in the polynomial.

Front

How do you factor the expression 3x² - 75?

Back

3x² - 75 can be factored as 3(x + 5)(x - 5).

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 r² - 16r + 60.

Back

r² - 16r + 60 can be factored as (r - 6)(r - 10).

Front

What is the result of factoring x⁶ - 400?

Back

x⁶ - 400 can be factored as (x³ - 20)(x³ + 20).

Front

What does it mean to factor completely?

Back

To factor completely means to break down a polynomial into its simplest factors, which cannot be factored further.