Drills on Factoring

Front

Factor: 3x² - 17x + 10

Back

(x - 5)(3x - 2)

Front

Find the factors of 4x² - 16x - 9

Back

(2x - 9)(2x + 1)

Front

Factor: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor: x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Factor: 4x² - 16x - 9

Back

(2x - 9)(2x + 1)

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c, where a, b, and c are constants.

Front

What is factoring in algebra?

Back

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

Front

What is the zero-product property?

Back

If ab = 0, then a = 0 or b = 0.

Front

What are the steps to factor a quadratic expression?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the expression and factor by grouping.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (a + b)² = a² + 2ab + b².