7-2 Flashcard Review - Basic Factoring

Front

Factor: x² - 5x - 24

Back

(x + 3)(x - 8)

Front

Why can't we factor 25x² - 51y² using difference of two squares?

Back

Because 51 is not a perfect squared number.

Front

What do you call a polynomial that cannot be factored?

Back

Prime

Front

Factor: x² + 9x + 18

Back

(x + 3)(x + 6)

Front

Fully Factor: 25x² - 81

Back

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

Front

What is the difference of two squares?

Back

A² - B² = (A + B)(A - B) where A and B are any expressions.

Front

What is a prime polynomial?

Back

A polynomial that cannot be factored into simpler polynomials.

Front

Factor: x² - 16

Back

(x + 4)(x - 4)

Front

What is the first step in factoring a quadratic expression?

Back

Look for two numbers that multiply to the constant term and add to the linear coefficient.

Front

Factor: x² + 5x + 6

Back

(x + 2)(x + 3)