Practice Factoring 2

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

Front

Factor completely: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is the GCF of 18xy and 12x?

Back

6x

Front

Factor Completely: 2k² - 14k - 60

Back

2(k - 10)(k + 3)

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 the difference of squares?

Back

The difference of squares is a special factoring pattern: a² - b² = (a - b)(a + b).

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers.

Front

How do you factor a trinomial of the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.

Front

What is a prime polynomial?

Back

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