Factoring Test 2024

Front

What are the factors of 25x² - 81?

Back

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

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

What do you call a polynomial that cannot be factored?

Back

Prime

Front

Factor a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients a, b, and c in ax² + bx + c.

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

How do you factor a trinomial of the form x² + bx + c?

Back

Find two numbers that multiply to c and add to b.

Front

What is a common factor?

Back

A number or expression that divides two or more numbers or expressions evenly.

Front

What is the purpose of factoring in algebra?

Back

To simplify expressions and solve equations.