A1 Unit 7 Factoring review game

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a prime polynomial?

Back

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

Front

What is the difference of perfect squares?

Back

The difference of perfect squares is a special factoring pattern that applies to expressions of the form a² - b², which can be factored as (a + b)(a - b).

Front

Factor the expression: x² - 4x + 24

Back

prime

Front

Factor the expression: n² - 2n + 1

Back

(n - 1)²

Front

Identify the difference of perfect squares: 9x² - 100

Back

9x² - 100 can be factored as (3x + 10)(3x - 10).

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

What does it mean if an expression cannot be factored?

Back

It means that the expression is either prime or does not have integer factors.

Front

Factor the expression: a² - 50

Back

cannot be factored

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all terms of the polynomial.