Factoring Quadratics

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 quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to give the product of 'a' and 'c' (from ax² + bx + c) and add to give 'b'.

Front

What is the factored form of 7w³ - 14w?

Back

7w(w² - 2) is the factored form.

Front

What is the factored form of 5x² + 20x + 20?

Back

5(x + 2)(x + 2) is the factored form.

Front

What is the factored form of 2x² - 7x + 6?

Back

(x - 2)(2x - 3) is the factored form.

Front

What is the GCF of 22x³ + 11x²?

Back

11x² is the GCF.

Front

What is the factored form of 4x² - 20x + 25?

Back

(2x - 5)² is the factored form.

Front

What is the difference of squares?

Back

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